An Exp-function method for new N-soliton solutions with arbitrary functions of a (2+1)-dimensional vcBK system

  • Authors:

  • Sheng Zhang;Hong-Qing Zhang

  • Affiliations:

  • Department of Mathematics, Bohai University, Jinzhou 121013, PR China and School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, PR China;School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, PR China

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2011

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Abstract

In this paper, the Exp-function method is generalized to construct N-soliton solutions of the (2+1)-dimensional variable-coefficient Broer-Kaup (vcBK) system. As a result, new and more general 1-soliton, 2-soliton and 3-soliton solutions with arbitrary functions are obtained, from which the uniform formulae of N-soliton solutions are derived. Based on one of the obtained 2-soliton solution, the fission and fusion phenomena between the peakons and solitary waves are investigated. It is shown that the Exp-function method may provide us with a straightforward, effective and alternative mathematical tool for generating N-soliton solutions of nonlinear evolution equations in mathematical physics.