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Explicit doubly periodic soliton solutions for the \((2+1)\)-dimensional Boussinesq equation - MaRDI portal

Explicit doubly periodic soliton solutions for the \((2+1)\)-dimensional Boussinesq equation (Q2444257)

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Explicit doubly periodic soliton solutions for the \((2+1)\)-dimensional Boussinesq equation
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    Explicit doubly periodic soliton solutions for the \((2+1)\)-dimensional Boussinesq equation (English)
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    9 April 2014
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    With the aim to show that the three wave method combined with the special transformation of the unknown function and the bilinear method for the \((2+1)\)-dimensional Boussinesq equation \[ u_{tt}-u_{xx}-u_{yy}-(u^2)_{xx}-u_{xxxx}=0 \] the authors have obtained new explicit two solution, periodic solitary wave solution and doubly periodic soliton solution.
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    Boussinesq equation
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    three wave method
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    two soliton solution
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    doubly periodic solitary wave solution
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