{"id":"https://openalex.org/W4319441654","doi":"https://doi.org/10.3390/sym15020436","title":"Higher Order Non-Planar Electrostatic Solitary Potential in a Streaming Electron-Ion Magnetoplasma: Phase Plane Analysis","display_name":"Higher Order Non-Planar Electrostatic Solitary Potential in a Streaming Electron-Ion Magnetoplasma: Phase Plane Analysis","publication_year":2023,"publication_date":"2023-02-06","ids":{"openalex":"https://openalex.org/W4319441654","doi":"https://doi.org/10.3390/sym15020436"},"language":"en","primary_location":{"id":"doi:10.3390/sym15020436","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15020436","pdf_url":"https://www.mdpi.com/2073-8994/15/2/436/pdf?version=1675751553","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/15/2/436/pdf?version=1675751553","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101663813","display_name":"Khalid Khan","orcid":"https://orcid.org/0009-0001-9593-3879"},"institutions":[{"id":"https://openalex.org/I68649149","display_name":"University of Malakand","ror":"https://ror.org/012xdha97","country_code":"PK","type":"education","lineage":["https://openalex.org/I68649149"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Khalid Khan","raw_affiliation_strings":["Department of Mathematics, University of Malakand, Chakdara 18000, Khyber Pakhtunkhwa, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Malakand, Chakdara 18000, Khyber Pakhtunkhwa, Pakistan","institution_ids":["https://openalex.org/I68649149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042326806","display_name":"Manuel De la Sen","orcid":"https://orcid.org/0000-0001-9320-9433"},"institutions":[{"id":"https://openalex.org/I169108374","display_name":"University of the Basque Country","ror":"https://ror.org/000xsnr85","country_code":"ES","type":"education","lineage":["https://openalex.org/I169108374"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Manuel De la Sen","raw_affiliation_strings":["Department of Electricity and Electronics, Institute of Research and Development of Processes, Faculty of Science and Technology, University of the Basque Country Campus of Leioa, 48940 Leioa, Spain"],"raw_orcid":"https://orcid.org/0000-0001-9320-9433","affiliations":[{"raw_affiliation_string":"Department of Electricity and Electronics, Institute of Research and Development of Processes, Faculty of Science and Technology, University of the Basque Country Campus of Leioa, 48940 Leioa, Spain","institution_ids":["https://openalex.org/I169108374"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100429856","display_name":"M. Irfan","orcid":"https://orcid.org/0000-0001-7525-963X"},"institutions":[{"id":"https://openalex.org/I68649149","display_name":"University of Malakand","ror":"https://ror.org/012xdha97","country_code":"PK","type":"education","lineage":["https://openalex.org/I68649149"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Muhammad Irfan","raw_affiliation_strings":["Department of Physics, University of Malakand, Chakdara 18000, Khyber Pakhtunkhwa, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, University of Malakand, Chakdara 18000, Khyber Pakhtunkhwa, Pakistan","institution_ids":["https://openalex.org/I68649149"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086666756","display_name":"Amir Ali","orcid":"https://orcid.org/0000-0002-2403-1296"},"institutions":[{"id":"https://openalex.org/I68649149","display_name":"University of Malakand","ror":"https://ror.org/012xdha97","country_code":"PK","type":"education","lineage":["https://openalex.org/I68649149"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Amir Ali","raw_affiliation_strings":["Department of Mathematics, University of Malakand, Chakdara 18000, Khyber Pakhtunkhwa, Pakistan"],"raw_orcid":"https://orcid.org/0000-0002-2403-1296","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Malakand, Chakdara 18000, Khyber Pakhtunkhwa, Pakistan","institution_ids":["https://openalex.org/I68649149"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5086666756"],"corresponding_institution_ids":["https://openalex.org/I68649149"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.7756,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.68130101,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"15","issue":"2","first_page":"436","last_page":"436"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11603","display_name":"Dust and Plasma Wave Phenomena","score":1.0,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11603","display_name":"Dust and Plasma Wave Phenomena","score":1.0,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10159","display_name":"Ionosphere and magnetosphere dynamics","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T14363","display_name":"Optical properties and cooling technologies in crystalline materials","score":0.9904000163078308,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.6423231363296509},{"id":"https://openalex.org/keywords/plasma","display_name":"Plasma","score":0.5882302522659302},{"id":"https://openalex.org/keywords/electron","display_name":"Electron","score":0.5826387405395508},{"id":"https://openalex.org/keywords/ion","display_name":"Ion","score":0.5597438812255859},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.5360581874847412},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.5242633819580078},{"id":"https://openalex.org/keywords/phase-plane","display_name":"Phase plane","score":0.5030311942100525},{"id":"https://openalex.org/keywords/korteweg\u2013de-vries-equation","display_name":"Korteweg\u2013de Vries equation","score":0.4630022346973419},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.44831565022468567},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.437956839799881},{"id":"https://openalex.org/keywords/atomic-physics","display_name":"Atomic physics","score":0.4292592704296112},{"id":"https://openalex.org/keywords/computational-physics","display_name":"Computational physics","score":0.3388108015060425},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.19302019476890564},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.18524345755577087},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1476609706878662},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12445768713951111}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6423231363296509},{"id":"https://openalex.org/C82706917","wikidata":"https://www.wikidata.org/wiki/Q10251","display_name":"Plasma","level":2,"score":0.5882302522659302},{"id":"https://openalex.org/C147120987","wikidata":"https://www.wikidata.org/wiki/Q2225","display_name":"Electron","level":2,"score":0.5826387405395508},{"id":"https://openalex.org/C145148216","wikidata":"https://www.wikidata.org/wiki/Q36496","display_name":"Ion","level":2,"score":0.5597438812255859},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.5360581874847412},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.5242633819580078},{"id":"https://openalex.org/C157626765","wikidata":"https://www.wikidata.org/wiki/Q2088081","display_name":"Phase plane","level":3,"score":0.5030311942100525},{"id":"https://openalex.org/C146630112","wikidata":"https://www.wikidata.org/wiki/Q601796","display_name":"Korteweg\u2013de Vries equation","level":3,"score":0.4630022346973419},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.44831565022468567},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.437956839799881},{"id":"https://openalex.org/C184779094","wikidata":"https://www.wikidata.org/wiki/Q26383","display_name":"Atomic physics","level":1,"score":0.4292592704296112},{"id":"https://openalex.org/C30475298","wikidata":"https://www.wikidata.org/wiki/Q909554","display_name":"Computational physics","level":1,"score":0.3388108015060425},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.19302019476890564},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.18524345755577087},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1476609706878662},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12445768713951111},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/sym15020436","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15020436","pdf_url":"https://www.mdpi.com/2073-8994/15/2/436/pdf?version=1675751553","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:addi.ehu.eus:10810/60126","is_oa":true,"landing_page_url":"http://hdl.handle.net/10810/60126","pdf_url":"http://addi.ehu.es/bitstream/10810/60126/1/symmetry-15-00436-v2.pdf","source":{"id":"https://openalex.org/S4306401964","display_name":"Communities in ADDI (University of the Basque Country)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169108374","host_organization_name":"University of the Basque Country","host_organization_lineage":["https://openalex.org/I169108374"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:b3a9a2a5864d459e9b04900c02cbe6d0","is_oa":false,"landing_page_url":"https://doaj.org/article/b3a9a2a5864d459e9b04900c02cbe6d0","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 15, Iss 2, p 436 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/15/2/436/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym15020436","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym15020436","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15020436","pdf_url":"https://www.mdpi.com/2073-8994/15/2/436/pdf?version=1675751553","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1812785629","display_name":null,"funder_award_id":"PID2021-1235430B-C21","funder_id":"https://openalex.org/F4320321705","funder_display_name":"Eusko Jaurlaritza"},{"id":"https://openalex.org/G2262748287","display_name":null,"funder_award_id":"501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G300979063","display_name":null,"funder_award_id":"10.13039/501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G3480869486","display_name":null,"funder_award_id":"13039","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G3497146170","display_name":null,"funder_award_id":"IT1555-22","funder_id":"https://openalex.org/F4320321705","funder_display_name":"Eusko Jaurlaritza"},{"id":"https://openalex.org/G5080475149","display_name":null,"funder_award_id":"10.13039","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G7266728691","display_name":null,"funder_award_id":"13039/501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G7922698992","display_name":null,"funder_award_id":"KK-2022/00090","funder_id":"https://openalex.org/F4320321705","funder_display_name":"Eusko Jaurlaritza"}],"funders":[{"id":"https://openalex.org/F4320321705","display_name":"Eusko Jaurlaritza","ror":"https://ror.org/00pz2fp31"},{"id":"https://openalex.org/F4320335598","display_name":"Agencia Estatal de Investigaci\u00f3n","ror":null}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4319441654.pdf"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W12929161","https://openalex.org/W1964033854","https://openalex.org/W1980922286","https://openalex.org/W1980950439","https://openalex.org/W2005161810","https://openalex.org/W2006399980","https://openalex.org/W2017533372","https://openalex.org/W2022625181","https://openalex.org/W2040962980","https://openalex.org/W2042838090","https://openalex.org/W2051494421","https://openalex.org/W2054103574","https://openalex.org/W2056144811","https://openalex.org/W2059167866","https://openalex.org/W2066248732","https://openalex.org/W2067578959","https://openalex.org/W2074214547","https://openalex.org/W2098689692","https://openalex.org/W2199420946","https://openalex.org/W2320400871","https://openalex.org/W2326365419","https://openalex.org/W2328778313","https://openalex.org/W2768733901","https://openalex.org/W2885436312","https://openalex.org/W2901654801","https://openalex.org/W3039571170","https://openalex.org/W3167317745","https://openalex.org/W4281287850","https://openalex.org/W4283323441","https://openalex.org/W4294990699","https://openalex.org/W4303574847","https://openalex.org/W6702098274"],"related_works":["https://openalex.org/W2006117736","https://openalex.org/W2035294016","https://openalex.org/W1991866779","https://openalex.org/W2368555630","https://openalex.org/W2054987050","https://openalex.org/W2013954322","https://openalex.org/W2775110935","https://openalex.org/W573147626","https://openalex.org/W1990976024","https://openalex.org/W2529197370"],"abstract_inverted_index":{"We":[0],"investigate":[1],"cylindrical":[2,156],"and":[3,83,98,121,140,157],"spherical":[4,158],"solitons":[5],"in":[6,48,112,170],"electron-ion":[7],"(EI)":[8],"plasma":[9],"that":[10,74,95],"contains":[11],"hot":[12,116,129],"(cold)":[13],"electrons":[14],"with":[15,23],"stationary":[16],"ions.":[17],"The":[18,80,133],"magneto-hydrodynamic":[19],"equations":[20],"are":[21,90,106,144],"solved":[22],"the":[24,27,34,41,45,53,63,87,96,101,113,122,126,136,152,162,167,171],"aid":[25],"of":[26,44,62,86,100,125,135,155],"reductive":[28],"perturbation":[29],"(RP)":[30],"technique,":[31],"leading":[32],"to":[33,115,128],"modified":[35],"Korteweg\u2013De":[36],"Vries":[37],"(mKdV)":[38],"equation":[39],"for":[40,67,150],"non-linear":[42],"behaviour":[43,85],"solitary":[46,68],"waves":[47,104],"EI":[49,172],"plasma.":[50,173],"By":[51],"employing":[52],"reduced":[54],"differential":[55],"transform":[56],"method":[57],"(RDTM),":[58],"an":[59],"approximate":[60],"solution":[61],"mKdV":[64],"is":[65,93,148],"obtained":[66,88],"waves.":[69],"Phase":[70],"plane":[71,82],"analysis":[72],"reveals":[73],"these":[75],"excitations":[76],"exhibit":[77],"periodic":[78,84],"oscillations.":[79],"phase":[81],"model":[89],"studied.":[91],"It":[92],"observed":[94],"amplitude":[97],"width":[99],"electron":[102,117,130],"acoustic":[103],"(EAWs)":[105],"affected":[107],"by":[108,166],"a":[109],"slight":[110],"change":[111],"cold":[114,127],"temperature":[118],"ratio":[119,131],"(\u03c3c)":[120],"number":[123],"density":[124],"(\u03b1).":[132],"effect":[134,169],"streaming":[137,168],"speed":[138],"u(0)":[139],"superthermality":[141],"index":[142],"\u03bae":[143],"investigated.":[145],"This":[146],"study":[147],"important":[149],"understanding":[151],"symmetric":[153],"properties":[154],"plasma,":[159],"relying":[160],"on":[161],"bifurcation":[163],"analysis,":[164],"impacted":[165]},"counts_by_year":[{"year":2024,"cited_by_count":4}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
