Various Kinds Waves and Solitons Interaction Solutions of Boussinesq Equation Describing Ultrashort Pulse in Quadratic Nonlinear Medium |
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Authors: | Bang-Xing Guo Zhan-Jie Gao Ji Lin |
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Institution: | Department of Physics, Zhejiang Normal University, Jinhua 321004, China |
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Abstract: | The consistent tanh expansion (CTE) method is applied to the (2+1)-dimensional Boussinesq equation which describes the propagation of ultrashort pulse in quadratic nonlinear medium. The interaction solutions are explicitly given, such as the bright soliton-periodic wave interaction solution, variational amplitude periodic wave solution, and kink-periodic wave interaction solution. We also obtain the bright soliton solution, kind bright soliton solution, double well dark soliton solution and kink-bright soliton interaction solution by using Painlevé truncated expansion method. And we investigate interactive properties of solitons and periodic waves. |
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Keywords: | soliton interaction Boussinesq equation consistent tanh expansion method Painlevé truncated expansion method |
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