Exp-function method for N-soliton solutions of nonlinear evolution equations in mathematical physics |
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Authors: | Sheng Zhang Hong-Qing Zhang |
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Institution: | a School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, PR China b Department of Mathematics, Bohai University, Jinzhou 121013, PR China |
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Abstract: | In this Letter, the Exp-function method is generalized to construct N-soliton solutions of a KdV equation with variable coefficients. As a result, 1-soliton, 2-soliton and 3-soliton solutions are obtained, from which the uniform formula of N-soliton solutions is derived. It is shown that the Exp-function method may provide us with a straightforward and effective mathematical tool for generating N-soliton solutions of nonlinear evolution equations in mathematical physics. |
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Keywords: | 02 30 Jr 02 30 Ik 05 45 Yv |
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