Analytic approximation for the soliton solution of the discrete modified KdV equation

Pei Yang; Yong Chen; Zhi Bin Li

Analytic approximation for the soliton solution of the discrete modified KdV equation

Pei Yang^*
, Yong Chen
, Zhi Bin Li

^*Corresponding author for this work

School of Mathematical Sciences

East China Normal University

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

3 Scopus citations

Abstract

We extend the homotopy analysis method to solving the discrete modified KdV equation. The bright soliton solution expressed by a series of exponential functions is obtained, which agrees well with the exact solution. It indicates the validity and great potential of the homotopy analysis method in solving complicated nonlinear problems.

Original language	English
Pages (from-to)	3668-3673
Number of pages	6
Journal	Wuli Xuebao/Acta Physica Sinica
Volume	59
Issue number	6
State	Published - Jun 2010

Keywords

Differential-difference equation
Discrete modified KdV equation
Homotopy analysis method
Solitary wave solution

Cite this

@article{80bec6aee5c14756ae7daf5a64391839,

title = "Analytic approximation for the soliton solution of the discrete modified KdV equation",

abstract = "We extend the homotopy analysis method to solving the discrete modified KdV equation. The bright soliton solution expressed by a series of exponential functions is obtained, which agrees well with the exact solution. It indicates the validity and great potential of the homotopy analysis method in solving complicated nonlinear problems.",

keywords = "Differential-difference equation, Discrete modified KdV equation, Homotopy analysis method, Solitary wave solution",

author = "Pei Yang and Yong Chen and Li, \{Zhi Bin\}",

year = "2010",

month = jun,

language = "英语",

volume = "59",

pages = "3668--3673",

journal = "Wuli Xuebao/Acta Physica Sinica",

issn = "1000-3290",

publisher = "Institute of Physics, Chinese Academy of Sciences",

number = "6",

}

TY - JOUR

T1 - Analytic approximation for the soliton solution of the discrete modified KdV equation

AU - Yang, Pei

AU - Chen, Yong

AU - Li, Zhi Bin

PY - 2010/6

Y1 - 2010/6

N2 - We extend the homotopy analysis method to solving the discrete modified KdV equation. The bright soliton solution expressed by a series of exponential functions is obtained, which agrees well with the exact solution. It indicates the validity and great potential of the homotopy analysis method in solving complicated nonlinear problems.

AB - We extend the homotopy analysis method to solving the discrete modified KdV equation. The bright soliton solution expressed by a series of exponential functions is obtained, which agrees well with the exact solution. It indicates the validity and great potential of the homotopy analysis method in solving complicated nonlinear problems.

KW - Differential-difference equation

KW - Discrete modified KdV equation

KW - Homotopy analysis method

KW - Solitary wave solution

UR - https://www.scopus.com/pages/publications/77953973752

M3 - 文章

AN - SCOPUS:77953973752

SN - 1000-3290

VL - 59

SP - 3668

EP - 3673

JO - Wuli Xuebao/Acta Physica Sinica

JF - Wuli Xuebao/Acta Physica Sinica

IS - 6

ER -

Analytic approximation for the soliton solution of the discrete modified KdV equation

Abstract

Keywords

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