| 分层流体中gKdV型孤立波的迎撞 |
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| 引用本文： | 朱勇,戴世强.分层流体中gKdV型孤立波的迎撞[J].力学学报,1992,24(1):9-18. |
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| 作者姓名： | 朱勇 戴世强 |
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| 作者单位： | 上海工业大学上海市应用数学和力学研究所 |
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| 摘 要： | 本文采用约化摄动法和PLK方法并通过双参数摄动展开,讨论了分层流体中以推广的Korteweg-de vries方程(gKdV方程)描述的孤立波的迎撞问题,求得了二阶近似解。分析结果表明,gKdV型孤立波碰撞后保持原来的形状不变,在碰撞时最大波幅为两个来碰孤立波的最大波幅的线性叠加。
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| 关 键 词： | gKdV孤立波 迎撞 分层流体 |
ON THE THEORETICAL BASE OF VISCOUS SHOCK LAYER EQUATIONS AND THE FURTHER DEVELOPMENTS |
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| Zhu Yong Dai Shiqiang.ON THE THEORETICAL BASE OF VISCOUS SHOCK LAYER EQUATIONS AND THE FURTHER DEVELOPMENTS[J].chinese journal of theoretical and applied mechanics,1992,24(1):9-18. |
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| Authors: | Zhu Yong Dai Shiqiang |
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| Abstract: | In this paper, using the reductive perturbation method combined with thePLK method and two-parameter expansion procedure, we treat the problem of head-on colli sion between two solitary waves described by the generalized Korteweg-de Vries equation (the gKdV equation) and obtain its second-order approximate solution. The results show that after the collision, the gKdV solitary waves preserve their profiles and during the collision, the maximal amplitude is the linear superposition of the maximal amplitudes of the two impinging solitary waves. |
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| Keywords: | gKdV solitary wave head-on collision reductive perturbation method PLK method |
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