Soliton resonance of the (2+1)-dimensional Boussinesq equation for gravity water waves

Zhang HQ; Meng XH; Li J; Tian B

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Soliton resonance of the (2+1)-dimensional Boussinesq equation for gravity water waves

机译：重力水波的（2 + 1）维Boussinesq方程的孤子共振

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Soliton resonance phenomena can take place in the (2 + 1)-dimensional Boussinesq equation which is used to describe the propagation of gravity waves on the surface of water. In this paper, we investigate the soliton interactions occurring in this model according to different values of the phase shift parameter. Then, we specially study two kinds of resonant interactions by means of the asymptotic behavior of solution. In the resonance process, a high and steep gravity water wave hump can be generated, the amplitude of which is about four times of the initial one. The physical applications of resonant interaction are pointed out. (C) 2007 Elsevier Ltd. All rights reserved.

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《Nonlinear analysis. Real world applications》 |2008年第3期|共7页
作者
Zhang HQ; Meng XH; Li J; Tian B;
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正文语种 eng
中图分类数学分析;
关键词
(2+1)-dimensional Boussinesq equation; soliton resonance; minus resonance; plus resonance; ION-ACOUSTIC SOLITONS; KADOMTSEV-PETVIASHVILI EQUATION; NONLINEAR SCHRODINGER MODEL; COUPLED KP EQUATION; SYMBOLIC-COMPUTATION; SHALLOW-WATER; OBLIQUE COLLISION; OPTICAL-FIBERS; PLASMA; SPACE;

机译：（2 + 1）维Boussinesq方程;孤子共振;负共振;正共振;离子声孤子;KADOMTSEV-PETVIASHVILI方程;非线性Schrodinger模型;耦合KP方程;符号计算;浅水;斜交纤维;等离子;空间;

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1. Soliton resonance of the (2+1)-dimensional Boussinesq equation for gravity water waves [J] . Zhang HQ, Meng XH, Li J, Nonlinear analysis. Real world applications . 2008,第3期

机译：重力水波的（2 + 1）维Boussinesq方程的孤子共振
2. N-soliton solution and soliton collisions of the (2+1)-dimensional nonlinear long-wave Boussinesq-class equation [J] . Sun K., Tian B., Liu W.-J., Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2011,第3期

机译：（2 + 1）维非线性长波Boussinesq类方程的N孤子解和孤子碰撞
3. Gaussons Solitons of the (2+1)-dimensional and the (3+1)-dimensional logarithmic Boussinesq equations [J] . Abdul-Majid Wazwaz International journal of numerical methods for heat & fluid flow . 2016,第6期

机译：（2 + 1）维和（3 + 1）维对数Boussinesq方程的高斯孤子
4. Traveling Wave Solution of (2+1) Dimensional Boussinesq Equation By Bernoulli Sub-ODE Method [C] . Qinghua Feng, Tongbo Liu International Conference on MEMS, NANO and Smart Systems . 2012

机译：（2 + 1）尺寸Boussinesq方程的行进波解伯努利子颂法方法
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Soliton resonance of the (2+1)-dimensional Boussinesq equation for gravity water waves

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