Symmetries and a Hierarchy of the General Modified KdV Equation

机译：一般修正KdV方程的对称性和层次

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Two groups of symmetries and their Lie algebra property of the modified KdV equation are extended to the general modified KdV equation and the Miura transformation between the general KdV equation and the general modified KdV equation is also established. 8 refs. (Atomindex citation 18:010784)

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年度 1986
页码 1-16
总页数 16
原文格式 PDF
正文语种 eng
中图分类工业技术 ;
关键词
Korteweg-De Vries Equation; Graded Lie Groups; Symmetry Groups;

机译：Korteweg-De Vries方程;渐变李群;对称群;

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1. Symmetries of the Variable Coefficient KdV Equation and Three Hierarchies of the Integrodifferential Variable Coefficient KdV Equation [J] . ZHANG Jiefang, HAN Ping 中国物理快报：英文版 . 1994 ,第012期

机译：变量系数KDV方程的对称性和积分积分系数系数KDV方程的三个层次结构
2. Residual symmetry, nth Backlund transformation, and soliton-cnoidal wave interaction solution for the combined modified KdV-negative-order modified KdV equation [J] . Cheng Wenguang, Qiu Deqin, Xu Tianzhou Mathematical Methods in the Applied Sciences . 2020 ,第3期

机译：组合改进的KDV-负阶改性KDV方程的残余对称性，第n个反弹变换和孤子-CNOIDAL波相互作用解决方案
3. Nonholonomic deformation of KdV and mKdV equations and their symmetries, hierarchies and integrability [J] . Anjan Kundu, R Sahadevan, L Nalinidevi Journal of physics, A. Mathematical and theoretical . 2009 ,第11期

机译：KdV和mKdV方程的非完整变形及其对称性，层次结构和可积性
4. Lie symmetry analysis and exact solutions to a class of new KdV-Burgers-Kuramoto type equation [C] . Yanxia Hu Chinese Control and Decision Conference . 2016

机译：典型对称分析和对一类新KDV-BURGERS-KURAMOTO类型方程的精确解决方案
5. Low regularity problems of the fifth-order KdV and the modified KdV equations. [D] . Kwon, Soonsik. 2008

机译：五阶KdV和修正KdV方程的低正则性问题。
6. Exact traveling wave solutions of modified KdV–Zakharov–Kuznetsov equation and viscous Burgers equation [O] . Md Hamidul Islam, Kamruzzaman Khan, M Ali Akbar, -1

机译：修正的KdV–Zakharov–Kuznetsov方程和粘性Burgers方程的精确行波解
7. Time fractional modified KdV-type equations: Lie symmetries, exact solutions and conservation laws [O] . Fangqin He, Lianzhong Li 2019

机译：时间分数修改KDV型方程：谎言对称，精确的解决方案和保护法
8. Symmetries and a Hierarchy of General KdV Equation [R] . Tian Chou 1985

机译：对称性和一般KdV方程的层次

Symmetries and a Hierarchy of the General Modified KdV Equation

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