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Darboux Transformation's Method for Generating Solutions of the Evolution Equation for Kelvin-Helmholtz Waves Near Direct Resonance

机译：Darboux变换生成Kelvin-Helmholtz波近直接共振演化方程解的方法

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In this paper, several new solutions of the evolution equation for Kelvin-Helmholtz waves near direct resonance are obtained by Darboux transformation. 3 refs. (Atomindex citation 17:028973)

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作者
Li Yishen;
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年度 1985
页码 1-10
总页数 10
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Nonlinear Problems; Helmholtz Instability; Inverse Scattering Problem; Solitons; Transformations;

机译：非线性问题;亥姆霍兹不稳定性;逆散射问题;孤子;变换;

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专利

1. A matrix Yajima-Oikawa long-wave-short-wave resonance equation, Darboux transformations and rogue wave solutions [J] . Li Ruomeng, Geng Xianguo Communications in Nonlinear Science and Numerical Simulation . 2020,第Nova期

机译：矩阵Yajima-Oikawa长波短波共振方程，Darboux转换和流浪波解决方案
2. Darboux transformations for a matrix long-wave-short-wave equation and higher-order rational rogue-wave solutions [J] . Li Ruomeng, Geng Xianguo, Xue Bo Mathematical Methods in the Applied Sciences . 2020,第2期

机译：Darboux用于矩阵长波短波方程和高阶理性Rogue-Wave解决方案的转换
3. Darboux transformation and exact solutions for a hierarchy of nonlinear evolution equations [J] . Luo L Journal of physics, A. Mathematical and theoretical . 2007,第15期

机译：非线性发展方程层次的Darboux变换和精确解
4. Transformations from Traveling Wave (TW) Solutions to Non-TW Solutions of Evolution Equations via a Direct Method [C] . Georgy I. Burde International Conference of Numerical Analysis and Applied Mathematics . 2017

机译：通过直接方法从旅行波（TW）解决方案的转换转换为进化方程的非TW解
5. A generalized approach to Darboux transformations for differential equations. [D] . Unlu, Mehmet. 2014

机译：微分方程Darboux变换的一种通用方法。
6. Darboux Problem for a Polyvibrating Equation: Solution as an F-Equation [O] . D. Mangeron, M. N. Oǧuztöreli 1970

机译：多元振动方程的Darboux问题：作为F方程的解
7. Darboux transformation of the general Hirota equation: multisoliton solutions, breather solutions, and rogue wave solutions [O] . 2016

机译：广义Hirota方程的Darboux变换：多孤子解，呼吸解和流浪解
8. Straightforward Method for Finding Implicit Solitary Wave Solutions of Nonlinear Evolution and Wave Equations [R] . Banerjee, P. P., Daoud, F., Hereman, W. 1989

机译：求非线性演化和波动方程隐式孤波解的直接法

Darboux Transformation's Method for Generating Solutions of the Evolution Equation for Kelvin-Helmholtz Waves Near Direct Resonance

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