Travelling wave solutions of nonlinear systems of PDEs by using the functional variable method. (English) Zbl 1438.35341
Summary: In this paper, we will use the functional variable method to construct exact solutions of some nonlinear systems of partial differential equations, including, the \((2+1)\)-dimensional Bogoyavlenskii’s breaking soliton equation, the Whitham-Broer-Kaup-Like systems and the Kaup-Boussinesq system. This approach can also be applied to other nonlinear systems of partial differential equations which can be converted to a second-order ordinary differential equation through the travelling wave transformation.
Keywords:
functional variable method; Bogoyavlenskii’s breaking soliton equation; Whitham-Broer-Kaup-like systems; Kaup-Boussinesq systemReferences:
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