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Multiple rogue wave solutions for \((2+1)\)-dimensional Boussinesq equation. (English) Zbl 07833201

Summary: In this paper, a modified symbolic computation approach is proposed. The multiple rogue wave solutions of a generalized \((2+1)\)-dimensional Boussinesq equation are obtained by using the modified symbolic computation approach. Dynamics features of these obtained multiple rogue wave solutions are displayed in 3D and contour plots. Compared with the original symbolic computation approach, our method does not need to find Hirota bilinear form of nonlinear system.

MSC:

35C08 Soliton solutions
68M07 Mathematical problems of computer architecture
33F10 Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.)

References:

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