Abstract

Conservation Laws and Associated Symmetries for Certain Nonlinear Partial Differential Equations

C.M.Khalique (Department of Mathematical Sciences and International Institute for Symmetry Analysis and Mathematical Modeling, University of North-West, Mmabatho, South Africa)

e-mail: cmkmat@unibo.uniwest.ac.za

We obtain conservation laws for a class of nonlinear partial differential equations which contain arbitrary functions of certain variables. We determine the conserved vectors by the direct method and then invoke a theorem due to Kara and Mahomed ["Relationship between Symmetries and conservation Laws", International Journal of Theoretical Physics, Vol. 39, No. 1, 2000] to check if the conditions for which the symmetries are associated with the conservation laws are satisfied.

Section : 12