Soliton solutions to coupled nonlinear evolution equations modelling a third harmonic resonance in the theory of capillary-gravity waves

M.C.W. Jones

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Soliton solutions to coupled nonlinear evolution equations modelling a third harmonic resonance in the theory of capillary-gravity waves

机译：毛细重力波理论中耦合三次演化方程的三次谐波共振的孤子解

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Soliton solutions are sought to a pair of coupled nonlinear partial differential equations which model the interface of two stratified ideal fluids and which occur when a fundamental mode and its third harmonic component induce a resonant interaction. These equations bear a resemblance to the standard coupled nonlinear Schrodinger equations, but they contain additional terms which makes their analysis quite different. There are two parameters in the problem: the ratio of the velocity of the fluids and of their densities. A large number of solutions is found and some important special cases are studied in detail.

机译：对一对耦合的非线性偏微分方程寻求孤子解，该方程对两个分层的理想流体的界面进行建模，并且在基本模式及其三次谐波引起共振相互作用时出现。这些方程式与标准耦合非线性Schrodinger方程式相似，但是它们包含其他项，这使得它们的分析大为不同。问题中有两个参数：流体速度与其密度之比。找到了大量解决方案，并详细研究了一些重要的特殊情况。

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来源
《Applied Mathematical Modelling》 |2016年第3期|2134-2142|共9页
作者
M.C.W. Jones;
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作者单位

School of Mathematics, Kingston University, Kingston-upon-Thames, KT1 2EE, U.K.;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Nonlinear evolution equations; Solitary waves; Third harmonic resonance;

机译：非线性发展方程;孤波;三次谐波共振;

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7. Soliton solutions to coupled nonlinear evolution equations modelling a third harmonic resonance in the theory of capillary-gravity waves [O] . Jones M.C.W. 2016

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8. Soliton Solutions to Coupled Higher-Order Nonlinear Schroedinger Equations [R] . Tasgal, R. S., Potasek, M. J. 1992

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Soliton solutions to coupled nonlinear evolution equations modelling a third harmonic resonance in the theory of capillary-gravity waves

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