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Exact Travelling Wave Solutions to a Coupled Nonlinear Evolution Equation
Authors:HUANG Ding-Jiang  ZHANG Hong-Qing
Institution:Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China
Abstract:By using an improved hyperbola function method, several types of exact travelling wave solutions to a coupled nonlinear evolution equation are obtained, which include kink-shaped soliton solutions, bell-shaped soliton solutions, envelop solitary wave solutions, and new solitary waves. The method can be applied to other nonlinear evolution equations in mathematical physics.
Keywords:nonlinear evolution equations  exact travelling wave solutions  envelop solitary wave solutions  hyperbola function method
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