Exact Solutions and Conservation Laws of A (2+1)-dimensional Combined Potential Kadomtsev-Petviashvili-B-type Kadomtsev-Petviashvili Equation

被引：0
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作者：
M. C. Sebogodi
B. Muatjetjeja
A. R. Adem
机构：
[1] University of South Africa,Department of Mathematical Sciences
[2] North-West University,Department of Mathematical Sciences
[3] Faculty of Science,Department of Mathematics
[4] University of Botswana,undefined
来源：
International Journal of Theoretical Physics | / 62卷
关键词：
An integrable nonlinear partial differential equation model of the sixth-order; Lie symmetry analysis; Conservation laws; 02.30.Jr; 02.30.Ik; 02.70.Wz; 05.45.Yv; 47.10.ab; 47.35.Fg; 52.35.Sb;
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摘要：
This article investigates a sixth order integrable nonlinear partial differential equation model that fulfills the Hirota N-soliton. Space and time-dependent shift, rotation and space-dependent shift, time and space translations, and time and space dilations Lie point symmetries are presented methodically. Under a specific point symmetries, the Lie point symmetries lead to group invariant solutions. The significance of conservation laws of the underlying equation are shown. The results are quite accurate in recreating complex waves and the dynamics of their interactions.
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