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North-West University (South Africa)

Exact solutions and conservation laws of two-wave mode Kadomtsev-Petviashvili equation and a nonintegrable nonlinear equation

Abstract

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. 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.

Degree

thesis:*
Grantor dc:publisher
North-West University (South Africa)
Year dc:date.issued
2019

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Moretlo, Thabo Sylvester
Advisors dc:contributor.advisor
  • Adem, A.R.
  • Muatjetjeja, B.

Rights

Language dc:language.iso
en

Identifiers

dc:identifier.*
Identifier URI
0000-0001-7298-7674
OAI identifier oai:identifier
oai:repository.nwu.ac.za:10394/37150

Chain of custody

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Harvested from
North-West University (South Africa)
Base URL
repository.nwu.ac.za/server/oai/request
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
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citation

Moretlo, Thabo Sylvester. Exact solutions and conservation laws of two-wave mode Kadomtsev-Petviashvili equation and a nonintegrable nonlinear equation. North-West University (South Africa), 2019. http://hdl.handle.net/10394/37150