<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-09-24T15:03:32.062595117Z</responseDate><request verb="GetRecord" identifier="oai:repository.nwu.ac.za:10394/37150" metadataPrefix="dim">https://repository.nwu.ac.za/server/oai/request</request><GetRecord><record><header><identifier>oai:repository.nwu.ac.za:10394/37150</identifier><datestamp>2021-08-16T12:07:53Z</datestamp><setSpec>com_10394_26463</setSpec><setSpec>col_10394_26473</setSpec></header><metadata><dim:dim xmlns:dim="http://www.dspace.org/xmlns/dspace/dim" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:doc="http://www.lyncode.com/xoai" xsi:schemaLocation="http://www.dspace.org/xmlns/dspace/dim http://www.dspace.org/schema/dim.xsd">
   <dim:field mdschema="dc" element="contributor" qualifier="advisor">Adem, A.R.</dim:field>
   <dim:field mdschema="dc" element="contributor" qualifier="advisor">Muatjetjeja, B.</dim:field>
   <dim:field mdschema="dc" element="contributor" qualifier="author">Moretlo, Thabo Sylvester</dim:field>
   <dim:field mdschema="dc" element="contributor" qualifier="researchID">16881621 - Adem, Abdullahi Rashid (Supervisor)</dim:field>
   <dim:field mdschema="dc" element="contributor" qualifier="researchID">16553926 - Muatjetjeja, Ben (Supervisor)</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="accessioned">2021-08-16T11:49:41Z</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="available">2021-08-16T11:49:41Z</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="issued">2019</dim:field>
   <dim:field mdschema="dc" element="identifier" qualifier="uri">https://orcid.org/0000-0001-7298-7674</dim:field>
   <dim:field mdschema="dc" element="identifier" qualifier="uri">http://hdl.handle.net/10394/37150</dim:field>
   <dim:field mdschema="dc" element="description" lang="en_US">MSc (Applied Mathematics), North-West University, Mafikeng Campus, 2019</dim:field>
   <dim:field mdschema="dc" element="description" qualifier="abstract" lang="en_US">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.</dim:field>
   <dim:field mdschema="dc" element="description" qualifier="thesistype" lang="en_US">Masters</dim:field>
   <dim:field mdschema="dc" element="language" qualifier="iso" lang="en_US">en</dim:field>
   <dim:field mdschema="dc" element="publisher" lang="en_US">North-West University (South Africa)</dim:field>
   <dim:field mdschema="dc" element="title" lang="en_US">Exact solutions and conservation laws of two-wave mode Kadomtsev-Petviashvili equation and a nonintegrable nonlinear equation</dim:field>
   <dim:field mdschema="dc" element="type" lang="en_US">Thesis</dim:field>
   <dim:field mdschema="others" element="access-status">open.access</dim:field>
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