Research
On the solutions and conservation laws of the (
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International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho, 2735, Republic of South Africa
Boundary Value Problems 2013, 2013:41 doi:10.1186/1687-2770-2013-41
Published: 28 February 2013Abstract
In this paper we obtain exact solutions of the 
-dimensional higher-order Broer-Kaup system which was obtained from the Kadomtsev-Petviashvili
equation by the symmetry constraints. The methods used to determine the exact solutions
of the underlying system are the Lie group analysis and the simplest equation method.
The solutions obtained are the solitary wave solutions. Moreover, we derive the conservation
laws of the -dimensional higher-order Broer-Kaup system by employing the multiplier approach and
the new conservation theorem.
Keywords:
the-dimensional higher-order Broer-Kaup system; integrability; Lie group analysis; simplest equation method; solitary waves; conservation laws
