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Symmetry Analysis and Conservation Laws of a Generalized Two-Dimensional Nonlinear KP-MEW Equation

Khadijo Rashid Adem and Chaudry Masood Khalique

Mathematical Problems in Engineering, 2015, vol. 2015, 1-7

Abstract:

Lie symmetry analysis is performed on a generalized two-dimensional nonlinear Kadomtsev-Petviashvili-modified equal width equation. The symmetries and adjoint representations for this equation are given and an optimal system of one-dimensional subalgebras is derived. The similarity reductions and exact solutions with the aid of -expansion method are obtained based on the optimal systems of one-dimensional subalgebras. Finally conservation laws are constructed by using the multiplier method.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:805763

DOI: 10.1155/2015/805763

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