Conservation laws for equations related to soil water equations-Reference-Cited by-同舟云学术

Conservation laws for equations related to soil water equations

Published:2005 Issue:1 Volume:2005 Page:141-150
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Khalique C. M.¹,Mahomed F. M.²

Affiliation:

1. International Institute for Symmetry Analysis and Mathematical Modelling and Department of Mathematical Sciences, North West University, Private Bag X2046, Mmabatho 2735, South Africa

2. Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, University of the Witwatersrand, Private Bag 3, Wits 2050, Johannesburg, South Africa

Abstract

We obtain all nontrivial conservation laws for a class of (2+1) nonlinear evolution partial differential equations which are related to the soil water equations. It is also pointed out that nontrivial conservation laws exist for certain classes of equations which admit point symmetries. Moreover, we associate symmetries with conservation laws for special classes of these equations.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2005/932735.pdf

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