A simplified hirota method and its application

Gui Qiong Xu; Shan Qing Zhang; Zhi Bin Li

doi:10.1007/s11741-003-0082-z

A simplified hirota method and its application

Gui Qiong Xu^*
, Shan Qing Zhang
, Zhi Bin Li

^*Corresponding author for this work

School of Mathematical Sciences

Shanghai University
East China Normal University

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

3 Scopus citations

Abstract

By means of the homogeneous balance principle, a nonlinear transformation to the well-known breaking soliton equation with physical interest was given. The original equation was turned into a homogeneity differential equation with this nonlinear transformation. By solving the homogeneity equation via the simplified Hirota method and applying the nonlinear transformation, one-soliton, two-soliton and three-soliton solutions as well as some other types of explicit solutions to the breaking soliton equation were obtained with the assistance of Maple.

Original language	English
Pages (from-to)	143-147
Number of pages	5
Journal	Journal of Shanghai University
Volume	7
Issue number	2
DOIs	https://doi.org/10.1007/s11741-003-0082-z
State	Published - Jun 2003

Keywords

simplified Hirota method
soliton solution
the breaking soliton equation
the homogeneous balance principle

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10.1007/s11741-003-0082-z

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title = "A simplified hirota method and its application",

abstract = "By means of the homogeneous balance principle, a nonlinear transformation to the well-known breaking soliton equation with physical interest was given. The original equation was turned into a homogeneity differential equation with this nonlinear transformation. By solving the homogeneity equation via the simplified Hirota method and applying the nonlinear transformation, one-soliton, two-soliton and three-soliton solutions as well as some other types of explicit solutions to the breaking soliton equation were obtained with the assistance of Maple.",

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author = "Xu, \{Gui Qiong\} and Zhang, \{Shan Qing\} and Li, \{Zhi Bin\}",

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AU - Zhang, Shan Qing

AU - Li, Zhi Bin

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N2 - By means of the homogeneous balance principle, a nonlinear transformation to the well-known breaking soliton equation with physical interest was given. The original equation was turned into a homogeneity differential equation with this nonlinear transformation. By solving the homogeneity equation via the simplified Hirota method and applying the nonlinear transformation, one-soliton, two-soliton and three-soliton solutions as well as some other types of explicit solutions to the breaking soliton equation were obtained with the assistance of Maple.

AB - By means of the homogeneous balance principle, a nonlinear transformation to the well-known breaking soliton equation with physical interest was given. The original equation was turned into a homogeneity differential equation with this nonlinear transformation. By solving the homogeneity equation via the simplified Hirota method and applying the nonlinear transformation, one-soliton, two-soliton and three-soliton solutions as well as some other types of explicit solutions to the breaking soliton equation were obtained with the assistance of Maple.

KW - simplified Hirota method

KW - soliton solution

KW - the breaking soliton equation

KW - the homogeneous balance principle

UR - https://www.scopus.com/pages/publications/84867987149

U2 - 10.1007/s11741-003-0082-z

DO - 10.1007/s11741-003-0082-z

M3 - 文章

AN - SCOPUS:84867987149

SN - 1007-6417

VL - 7

SP - 143

EP - 147

JO - Journal of Shanghai University

JF - Journal of Shanghai University

IS - 2

ER -

A simplified hirota method and its application

Abstract

Keywords

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