Filomat 2012 Volume 26, Issue 5, Pages: 957-964
https://doi.org/10.2298/FIL1205957K
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Exact solutions and conservation laws of a coupled integrable dispersionless system
Khalique Masood Chaudry (International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Mmabatho, Republic of South Africa)
In this paper we study the coupled integrable dispersionless system (CIDS),
which arises in the analysis of several problems in applied mathematics and
physics. Lie symmetry analysis is performed on CIDS and symmetry reductions
and exact solutions with the aid of simplest equation method are obtained. In
addition, the conservation laws of the CIDS are also derived using the
multiplier (and homotopy) approach.
Keywords: coupled integrable dispersionless system, Lie symmetries, simplest equation method, conservation laws