首页> 外文会议>2011 30th Chinese Control Conference >Symmetry reductions and exact solutions to the Variable-Coefficients mKdV Equations

【24h】

Symmetry reductions and exact solutions to the Variable-Coefficients mKdV Equations

机译：变系数mKdV方程的对称约简和精确解

获取原文

页面导航

摘要
著录项
相似文献
相关主题

摘要

In this paper, the variable coefficients modified Korteweg-de Vries (vc-mKdV) equations are considered. By using Lie symmetry analysis method, the vector fields and symmetry reductions of the equations are presented. The exact solutions generated from the similarity transformations are obtained. Especially, the exact analytic solutions to the vc-mKdV equations are investigated by the power series method.

机译：本文考虑了变系数修正的Korteweg-de Vries（vc-mKdV）方程。利用李对称性分析方法，给出了方程的矢量场和对称约简。获得了由相似变换产生的精确解。特别是，通过幂级数方法研究了vc-mKdV方程的精确解析解。

著录项

来源
《2011 30th Chinese Control Conference》|2011年|p.859-863|共5页
会议地点
作者
Liu Hanze;
展开▼
作者单位

展开▼
会议组织
原文格式 PDF
正文语种
中图分类自动控制、自动控制系统;
关键词
Exact solution; Lie symmetry analysis; Power series method; Variable coefficients mKdV equation; Vector field;

机译：精确解;李对称性分析;幂级数法;变系数mKdV方程;矢量场;

相似文献

外文文献
中文文献
专利

1. Lie symmetries and exact solutions of variable coefficient mKdV equations:An equivalence based approach [J] . Olena Vaneeva Communications in Nonlinear Science and Numerical Simulation . 2012,第2期

机译：变系数mKdV方程的Lie对称性和精确解：一种基于等价的方法
2. CK transformations, symmetries, exact solutions and conservation laws of the generalized variable-coefficient KdV types of equations [J] . Liu Hanze, Sang Bo, Xin Xiangpeng, Journal of Computational and Applied Mathematics . 2019,第期

机译：CK转换，对称性，普通变量系数KDV类型的方程式的调查，精确解决方案和保护规律
3. Lie symmetries, integrable properties and exact solutions to the variable-coefficient nonlinear evolution equations [J] . Liu Hanze, Yue Chao Nonlinear dynamics . 2017,第3期

机译：可变系数非线性演化方程的谎言对称，可积分和精确解
4. Symmetry Reductions and Exact Solutions to the Variable-coefficients mKdV Equations [C] . LIU Hanze Chinese Control Conference . 2011

机译：变量系数MKDV方程对称减少和精确解
5. Exact Topological Soliton Solutions of the Dispersive, Strongly Perturbed, and 2D Sine-Gordon Type Equations [D] . Johnson, Stephen. 2018

机译：分散，强烈扰动和2D正弦戈登型方程的确切拓扑孤子解决方案
6. Symmetry reduction and exact solutions of two higher-dimensional nonlinear evolution equations [O] . Yongyi Gu, Jianming Qi -1

机译：两个高维非线性发展方程的对称约化和精确解
7. Lie symmetries and exact solutions of variable coefficient mKdV equations: an equivalence based approach [O] . Vaneeva, Olena 2012

机译：变系数mKdV的Lie对称性和精确解方程式：基于等价的方法

Symmetry reductions and exact solutions to the Variable-Coefficients mKdV Equations

摘要

著录项

相似文献

相关主题

期刊订阅