Lump Solutions, Interaction Solutions and Breather Solutions of Generalized (3+1)-Dimensional KdV Equations

YU Minghui; WANG Yunhu

doi:10.21656/1000-0887.430353

Volume 44 Issue 8

Aug. 2023

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YU Minghui, WANG Yunhu. Lump Solutions, Interaction Solutions and Breather Solutions of Generalized (3+1)-Dimensional KdV Equations[J]. Applied Mathematics and Mechanics, 2023, 44(8): 1007-1016. doi: 10.21656/1000-0887.430353

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Lump Solutions, Interaction Solutions and Breather Solutions of Generalized (3+1)-Dimensional KdV Equations

doi: 10.21656/1000-0887.430353

YU Minghui,
WANG Yunhu^,

School of Science, Shanghai Maritime University, Shanghai 201306, P.R.China

Received Date: 2022-11-04
Rev Recd Date: 2022-12-18
Publish Date: 2023-08-01

Abstract

Abstract

Based on the bilinear form of the generalized (3+1)-dimensional KdV equation, the lump solution, the interaction solution and the breather solution of the equation were obtained. The obtained lump solutions were proved to be rationally localized in all directions of the space, then the "fusion" and "fission" phenomena were observed during the interaction between the lump soliton wave and the one-stripe soliton. Finally, the breather solution of the equation was obtained.
- generalized (3+1)-dimensional KdV equation,
- lump solution,
- interaction solution,
- breather solution

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References

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