Multiple scales analysis of the steady-state Korteweg-de Vries equation perturbed by a damping term

Steinruck H

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Multiple scales analysis of the steady-state Korteweg-de Vries equation perturbed by a damping term

机译：阻尼项扰动的稳态Korteweg-de Vries方程的多尺度分析

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The stationary Korteweg-de Vries equation perturbed by two different damping terms will be discussed. The solution is oscillatory with slowly varying amplitude, wave length and mean value. The multiple scales method is applied and equations for the slowly varying quantities are be derived.

机译：将讨论受两个不同阻尼项干扰的平稳Korteweg-de Vries方程。该解决方案是振荡式的，其振幅，波长和平均值缓慢变化。应用了多尺度方法，并导出了变化缓慢的方程。

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《Zeitschrift fur Angewandte Mathematik und Mechanik》 |2005年第2期|共8页
作者
Steinruck H;
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正文语种 eng
中图分类应用数学;
关键词
multiple scales expansion; cn-waves; open channel flow; Korteweg-de Vries equation; UNDULAR HYDRAULIC JUMP; OPEN-CHANNEL FLOW; STRATIFIED FLUID; RESONANT FLOW; TOPOGRAPHY;

机译：多尺度扩展cn波明渠水流Korteweg-de Vries方程非水力跳跃敞开流分层流体共振流层析成像;

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专利

1. Multiple scales analysis of the steady-state Korteweg-de Vries equation perturbed by a damping term [J] . Steinruck H Zeitschrift fur Angewandte Mathematik und Mechanik . 2005,第2期

机译：阻尼项扰动的稳态Korteweg-de Vries方程的多尺度分析
2. Multiple and exact soliton solutions of the perturbed Korteweg-de Vries equation of long surface waves in a convective fluid via Painlevé analysis, factorization, and simplest equation methods [J] . Ehab S. Selima, Xiaohua Yao, Abdul-Majid Wazwaz Physical review, E . 2017,第6aPta1期

机译：通过PARELEVÉ分析，分解和最简单的公式方法在对流流体中的长表面波的扰动Korteweg-de VRIES方程的多和精确孤子解决方案
3. Perturbed Korteweg-de Vries equations symmetry analysis and conservation laws [J] . Yu-Shan Bai, Qi Zhang Thermal science . 2019,第4期

机译：扰动的Korteweg-de Vries方程的对称性分析和守恒律
4. New exact solutions for Korteweg-de Vries Burgers equation and Korteweg-de Vries equation [C] . 2011 International Conference on Management Science and Industrial Engineering . 2011

机译：Korteweg-de Vries Burgers方程和Korteweg-de Vries方程的新精确解
5. Analysis and Control of the Boussinesq and Korteweg-de Vries equations. [D] . Rivas, Ivonne. 2011

机译：Boussinesq和Korteweg-de Vries方程的分析和控制。
6. Solution of the pulse width modulation problem using orthogonal polynomials and Korteweg-de Vries equations [O] . D. V. Chudnovsky, G. V. Chudnovsky 1999

机译：使用正交多项式和Korteweg-de Vries方程求解脉冲宽度调制问题
7. Perturbed Korteweg-de Vries equations symmetry analysis and conservation laws [O] . Yu-Shan Bai, Qi Zhang 2019

机译：扰动Korteweg-de VRIES方程对称分析和保护法
8. Painleve Property, Lax Pair, Auto-Baecklund Transformation and Recursion Operator of a Perturbed Korteweg-de Vries Equation [R] . Baby, B. V. 1987

机译：具有扰动的Korteweg-de Vries方程的painleve性质，Lax对，auto-Baecklund变换和递归算子

Multiple scales analysis of the steady-state Korteweg-de Vries equation perturbed by a damping term

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