The homotopy analysis method for approximating the solution of the modified Korteweg-de Vries equation

Yinping Liu; Zhibin Li

doi:10.1016/j.chaos.2007.01.148

The homotopy analysis method for approximating the solution of the modified Korteweg-de Vries equation

Yinping Liu
, Zhibin Li^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

In this paper, the homotopy analysis method for solving the nonlinear modified Korteweg-de Vries equation is implemented with approximate initial conditions. We discuss the case when the problem has solitons or breathers. Some numerical examples are presented.

Original language	English
Pages (from-to)	1-8
Number of pages	8
Journal	Chaos, Solitons and Fractals
Volume	39
Issue number	1
DOIs	https://doi.org/10.1016/j.chaos.2007.01.148
State	Published - 15 Jan 2009

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10.1016/j.chaos.2007.01.148

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title = "The homotopy analysis method for approximating the solution of the modified Korteweg-de Vries equation",

abstract = "In this paper, the homotopy analysis method for solving the nonlinear modified Korteweg-de Vries equation is implemented with approximate initial conditions. We discuss the case when the problem has solitons or breathers. Some numerical examples are presented.",

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AB - In this paper, the homotopy analysis method for solving the nonlinear modified Korteweg-de Vries equation is implemented with approximate initial conditions. We discuss the case when the problem has solitons or breathers. Some numerical examples are presented.

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The homotopy analysis method for approximating the solution of the modified Korteweg-de Vries equation

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