Lie Symmetry Analysis and Conservation Laws of a Two-Wave Mode Equation for the Integrable Kadomtsev-Petviashvili Equation

被引：8
作者：
Moretlo, T. S. [1 ]
Muatjetjeja, B. [1 ,2 ]
Adem, A. R. [3 ]
机构：
[1] North West Univ, Dept Math Sci, Private Bag X 2046, ZA-2735 Mmabatho, South Africa
[2] Univ Botswana, Fac Sci, Dept Math, Private Bag 22, Gaborone, Botswana
[3] Univ South Africa, Dept Math Sci, UNISA, ZA-0003 Pretoria, South Africa
来源：
JOURNAL OF APPLIED NONLINEAR DYNAMICS | 2021年 / 10卷 / 01期
关键词：
Two-wave mode equation for the integrable Kadomtsev-Petviashvili (TKP) equation; Lie point symmetries; Conservation laws; MULTIPLE WAVE SOLUTIONS; BACKLUND TRANSFORMATION; SOLITON-SOLUTIONS; LUMP SOLUTIONS; ROGUE WAVES; DYNAMICS; KDV;
D O I：
10.5890/JAND.2021.03.004
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Lie symmetry analysis is performed on a two-wave mode equation for the integrable Kadomtsev-Petviashvili (TKP) equation which describes the propagation of two different wave modes in the same direction simultaneously. The similarity reductions and an exact solution are computed. In addition to this, we derive the conservation laws for the underlying equation. (C)2021 L&H Scientific Publishing, LLC. All rights reserved.
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页码：65 / 79
页数：15
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