A Simplified Hirota Method and Its Application

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 trans-formation. By solving the homogeneity equation v...

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Bibliographic Details
Published inJournal of Shanghai University Vol. 7; no. 2; pp. 143 - 147
Main Author 徐桂琼 张善卿 李志斌
Format Journal Article
LanguageEnglish
Published 01.06.2003
Subjects
孤波方程
孤波解
微分方程
数学物理方法
相似平衡法则
非线性变换
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Summary: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 trans-formation. By solving the homogeneity equation v/a the simplified Hirota method and applying the nonlinear transformation, one-soli-ton, two-soliton and three-soliton solutions as well as some other types of explicit solutions to the breaking soliton equation were ob-tained with the assistance of Maple.
Bibliography:31-1735/N
O411.1
ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:1007-6417
1863-236X
DOI:10.1007/s11741-003-0082-z