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摘要
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.
