{"id":{"repo_id":"nwu-za","oai_identifier":"oai:repository.nwu.ac.za:10394/37150"},"canonical_url":"https://search.dev.ndltd.org/etd/nwu-za/oai:repository.nwu.ac.za:10394/37150","repository":{"repo_id":"nwu-za","name":"North-West University (South Africa)","base_url":"https://repository.nwu.ac.za/server/oai/request"},"display":{"title":"Exact solutions and conservation laws of two-wave mode Kadomtsev-Petviashvili equation and a nonintegrable nonlinear equation","abstract":"In this dissertation we study three nonlinear partial differential equations namely the Korteweg-de Vries (KdV) equation as an illustrative example, nonintegrable nonlinear equation and two-wave mode Kadomtsev-Petviashvili (TKP) equation. We employ the multiplier method to find conservation laws. We also use Kudryashov and simplest equation methods to obtain exact solutions of a generalized two nonlinear partial differential equations.","abstract_html":"In this dissertation we study three nonlinear partial differential equations namely the Korteweg-de Vries (KdV) equation as an illustrative example, nonintegrable nonlinear equation and two-wave mode Kadomtsev-Petviashvili (TKP) equation. We employ the multiplier method to find conservation laws. 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We employ the multiplier method to find conservation laws. We also use Kudryashov and simplest equation methods to obtain exact solutions of a generalized two nonlinear partial differential equations."]},{"key":"dc:title","label":"Title","values":["Exact solutions and conservation laws of two-wave mode Kadomtsev-Petviashvili equation and a nonintegrable nonlinear equation"]}]}],"canonical_facts":{"dc:contributor.advisor":["Adem, A.R.","Muatjetjeja, B."],"dc:creator":["Moretlo, Thabo Sylvester"],"dc:date.accessioned":["2021-08-16T11:49:41Z"],"dc:date.available":["2021-08-16T11:49:41Z"],"dc:date.issued":["2019"],"dc:description":["MSc (Applied Mathematics), North-West University, Mafikeng Campus, 2019"],"dc:description.abstract":["In this dissertation we study three nonlinear partial differential equations namely the Korteweg-de Vries (KdV) equation as an illustrative example, nonintegrable nonlinear equation and two-wave mode Kadomtsev-Petviashvili (TKP) equation. 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