The variable-coefficient Modified Kortweg-de Vries equation

机译：变系数修正Kortweg-de Vries方程

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In this article, a new transformation mapping the variable-coefficient Modified Kortweg-de Vries (VC-MKdV) equation to the usual coefficient Modified Kortweg-de Vries (MKdV) equation is given. And then we will give some new solutions of the VC-MKdV equation with the known solutions of the usual MKdV equation. At last the tracks of the new solutions for the VC-MKdV equation are well analysed and ploted.

机译：在本文中，给出了将变量系数修改的Kortweg-de Vries（VC-MKdV）方程映射到常规系数的修改的Kortweg-de Vries（MKdV）方程的新变换。然后，我们将使用常规MKdV方程的已知解给出VC-MKdV方程的一些新解。最后，对VC-MKdV方程的新解的轨迹进行了很好的分析和绘制。

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《2011 International Conference on Consumer Electronics, Communications and Networks》|2011年|p.5453-5456|共4页
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Guo Meizhen; He Jingsong;
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中图分类光电子技术的应用;
关键词
VC-MKdV equation; solutions; transformation;

机译：VC-MKdV方程;解;变换;

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专利

1. Numerical Solution of Kortweg-de Vries Equation [J] . Fakhirah Alotaibi, M. S. Ismail 应用数学（英文） . 2020,第004期
2. Numerical Simulation of Modified Kortweg-de Vries Equation by Linearized Implicit Schemes [J] . M. S. Ismail, Fakhirah Alotaibi 应用数学（英文） . 2020,第011期
3. N-fold Darboux transformation and double-Wronskian-typed solitonic structures for a variable-coefficient modified Kortweg-de Vries equation [J] . Wang L., Gao Y.-T., Qi F.-H. Annals of Physics . 2012,第8期

机译：变系数修正Kortweg-de Vries方程的N倍Darboux变换和双Wronskian型孤子结构
4. Painleve property, Lax pair and Darboux transformation of the variable-coefficient modified Kortweg-de Vries model in fluid-filled elastic tubes [J] . Xiao-Ling Gai, Yi-Tian Gao, Lei Wang, Communications in Nonlinear Science and Numerical Simulation . 2011,第4期

机译：充液弹性管中变系数修正Korteweg-de Vries模型的Painleve性质，Lax对和Darboux变换
5. Darboux Transformation and Soliton Solutions for a Variable-Coefficient Modified Kortweg-de Vries Model from Fluid Mechanics, Ocean Dynamics, and Plasma Mechanics [J] . GAI Xiao-Ling, GAO Yi-Tian, MENG De-Xin, Communications in Theoretical Physics . 2010,第4期

机译：流体力学，海洋动力学和等离子力学的变系数修正Kortweg-de Vries模型的Darboux变换和孤子解
6. The variable-coefficient Modified Kortweg-de Vries equation [C] . Guo Meizhen, He Jingsong International Conference on Consumer Electronics, Communications and Networks . 2011

机译：可变系数修改的Kortweg-de Vries方程
7. A decay property of solution to the modified Korteweg-de Vries equation. [D] . Nahas, Joules. 2010

机译：修正的Korteweg-de Vries方程解的衰减性质。
8. 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
9. Numerical Simulation of Modified Kortweg-de Vries Equation by Linearized Implicit Schemes [O] . M. S. Ismail, Fakhirah Alotaibi 2020

机译：线性化隐式方案的修改kortew-de Vries方程的数值模拟

The variable-coefficient Modified Kortweg-de Vries equation

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