Exact solitary waves in a convecting fluid

Exact solitary waves in a convecting fluid
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DOI:
10.1088/0305-4470/24/11/003
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发表时间:
1991-06
期刊:
Journal of Physics A
影响因子:
--
通讯作者:
S. Lou;Guoxiang Huang;H. Ruan
S. Lou;Guoxiang Huang;H. Ruan
中科院分区:
其他
文献类型:
--
作者:
S. Lou;Guoxiang Huang;H. Ruan

文献摘要

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扰动的 Korteweg-de Vries 方程 ut+ lambda 1uux+ lambda 2uxxx+ lambda 3uxxxx+ lambda 4 (uux)x+ lambda 5uxx=0,描述了当临界瑞利数稍微超过其临界值时对流流体中长浅波的演化,它允许两种类型的精确孤立波解。
The perturbed Korteweg-de Vries equation ut+ lambda 1uux+ lambda 2uxxx+ lambda 3uxxxx+ lambda 4 (uux)x+ lambda 5uxx=0, which describes the evolution of long shallow waves in a convecting fluid when the critical Rayleigh number slightly exceeds its critical value, admits two types of exact solitary wave solution.