{"id":"https://openalex.org/W4240935335","doi":"https://doi.org/10.1007/978-0-387-30440-3_586","title":"Water Waves and the Korteweg\u2013de Vries Equation","display_name":"Water Waves and the Korteweg\u2013de Vries Equation","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W4240935335","doi":"https://doi.org/10.1007/978-0-387-30440-3_586"},"language":"en","primary_location":{"id":"doi:10.1007/978-0-387-30440-3_586","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-0-387-30440-3_586","pdf_url":null,"source":{"id":"https://openalex.org/S4306509336","display_name":"Encyclopedia of Complexity and Systems Science","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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Complexity and Systems Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5112716122","display_name":"Lokenath Debnath","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Lokenath Debnath","raw_affiliation_strings":["Department of Mathematics, University of Texas\u00a0\u2013 Pan American, Edinburg, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Texas\u00a0\u2013 Pan American, Edinburg, USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5112716122"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.5616151,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"9967","last_page":"10005"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T11061","display_name":"Ocean Waves and Remote Sensing","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/korteweg\u2013de-vries-equation","display_name":"Korteweg\u2013de Vries equation","score":0.5769922137260437},{"id":"https://openalex.org/keywords/dispersionless-equation","display_name":"Dispersionless equation","score":0.44947758316993713},{"id":"https://openalex.org/keywords/environmental-science","display_name":"Environmental science","score":0.4043976664543152},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.39088720083236694},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.33344918489456177},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3212129473686218},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3206017017364502},{"id":"https://openalex.org/keywords/kadomtsev\u2013petviashvili-equation","display_name":"Kadomtsev\u2013Petviashvili equation","score":0.251825213432312},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19733554124832153},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.08667519688606262},{"id":"https://openalex.org/keywords/burgers-equation","display_name":"Burgers' equation","score":0.061380535364151},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.0596030056476593}],"concepts":[{"id":"https://openalex.org/C146630112","wikidata":"https://www.wikidata.org/wiki/Q601796","display_name":"Korteweg\u2013de Vries equation","level":3,"score":0.5769922137260437},{"id":"https://openalex.org/C4188701","wikidata":"https://www.wikidata.org/wiki/Q5282585","display_name":"Dispersionless equation","level":5,"score":0.44947758316993713},{"id":"https://openalex.org/C39432304","wikidata":"https://www.wikidata.org/wiki/Q188847","display_name":"Environmental science","level":0,"score":0.4043976664543152},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.39088720083236694},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.33344918489456177},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3212129473686218},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3206017017364502},{"id":"https://openalex.org/C159785203","wikidata":"https://www.wikidata.org/wiki/Q6345653","display_name":"Kadomtsev\u2013Petviashvili equation","level":4,"score":0.251825213432312},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19733554124832153},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.08667519688606262},{"id":"https://openalex.org/C129747778","wikidata":"https://www.wikidata.org/wiki/Q1014918","display_name":"Burgers' equation","level":3,"score":0.061380535364151},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.0596030056476593},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-0-387-30440-3_586","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-0-387-30440-3_586","pdf_url":null,"source":{"id":"https://openalex.org/S4306509336","display_name":"Encyclopedia of Complexity and Systems Science","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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Complexity and Systems Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W74981254","https://openalex.org/W95194503","https://openalex.org/W305332711","https://openalex.org/W565888886","https://openalex.org/W938817260","https://openalex.org/W1427593441","https://openalex.org/W1561892995","https://openalex.org/W1676457984","https://openalex.org/W1973017819","https://openalex.org/W1975541549","https://openalex.org/W1975632339","https://openalex.org/W1979074041","https://openalex.org/W1979722387","https://openalex.org/W1985182018","https://openalex.org/W1986889153","https://openalex.org/W1988262223","https://openalex.org/W1989760690","https://openalex.org/W2000808886","https://openalex.org/W2003284749","https://openalex.org/W2008927730","https://openalex.org/W2028205420","https://openalex.org/W2030669316","https://openalex.org/W2035603048","https://openalex.org/W2037065062","https://openalex.org/W2045239004","https://openalex.org/W2046241712","https://openalex.org/W2047171119","https://openalex.org/W2047424724","https://openalex.org/W2050639649","https://openalex.org/W2055660721","https://openalex.org/W2063665156","https://openalex.org/W2066493483","https://openalex.org/W2071501330","https://openalex.org/W2083960709","https://openalex.org/W2089996117","https://openalex.org/W2107246240","https://openalex.org/W2111783528","https://openalex.org/W2119387937","https://openalex.org/W2120135064","https://openalex.org/W2139145457","https://openalex.org/W2141237926","https://openalex.org/W2159514670","https://openalex.org/W2161194605","https://openalex.org/W2491618087","https://openalex.org/W2561396070","https://openalex.org/W2565840674","https://openalex.org/W4205822450","https://openalex.org/W4210506996","https://openalex.org/W4213325162","https://openalex.org/W4214513570","https://openalex.org/W4239757460","https://openalex.org/W4292157312","https://openalex.org/W4296249473"],"related_works":["https://openalex.org/W2076935685","https://openalex.org/W3104741325","https://openalex.org/W105290850","https://openalex.org/W1519463621","https://openalex.org/W4386637279","https://openalex.org/W2494658963","https://openalex.org/W3103965378","https://openalex.org/W2082770811","https://openalex.org/W2046099083","https://openalex.org/W2024710114"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
