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New Explicit and Exact Travelling Wave Solutions for a Class of Nonlinear Evolution Equations

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Abstract

With the help of Mathematica, many travelling for a class of nonlinear evolution equations uu + auxx + bu + cu2 + du3 = 0 are obtained by using hyperbola function method and WU-elimination method, which include new travelling wave solutions, periodic solutions and kink soliton solutions. Some equations such as Duffing equation, sin-Gordon equation, Φ4 and Klein-Gordon equation are particular cases of the evolution equations. The method can also be applied to other nonlinear equations.

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Authors and Affiliations

  1. Department of Mathematics, Dalian University of Technology, Dalian, 116024, P R China

    Tie-cheng Xia, Hong-qing Zhang & Zhen-ya Yan

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  1. Tie-cheng Xia
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  2. Hong-qing Zhang
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  3. Zhen-ya Yan
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Xia, Tc., Zhang, Hq. & Yan, Zy. New Explicit and Exact Travelling Wave Solutions for a Class of Nonlinear Evolution Equations. Applied Mathematics and Mechanics 22, 788–793 (2001). https://doi.org/10.1023/A:1016359118468

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