THE CONCAVE OR CONVEX PEAKED AND SMOOTH SOLITON SOLUTIONS OF CAMASSA-HOLM EQUATION

The traveling wave soliton solutions and pair soliton solution to a class of newcompletely integrable shallow water equation, Camassa-Holm equation are studied. Theconcept of concave or convex peaked soliton and smooth soliton were introduced. And theresearch shows that the traveling wave solution o...

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Bibliographic Details
Published inApplied mathematics and mechanics Vol. 23; no. 5; pp. 557 - 567
Main Authors Li-xin, Tian, Gang, Xu, Zeng-rong, Liu
Format Journal Article
LanguageEnglish
Published Department of Mathematics, Jiangsu University of Science and Technolgoy,Zhenjiang 212013, P R China%Department of Mathematics, Shanghai University, Shanghai 200018, P R China 01.05.2002
Subjects
integrable
peakson
soliton
solution
system
traveling
wave
traveling wave solution
soliton
integrable system
peakson
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ISSN0253-4827
1573-2754
DOI10.1007/BF02437774

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Summary:The traveling wave soliton solutions and pair soliton solution to a class of newcompletely integrable shallow water equation, Camassa-Holm equation are studied. Theconcept of concave or convex peaked soliton and smooth soliton were introduced. And theresearch shows that the traveling wave solution of that equation possesses concave and conv-ex peaked soliton and smooth soliton solutions with the peakson. Simultaneously by applyingBacklund transformation the new pair soliton solutions to this class of equation are given.
Bibliography:O175.29
31-1650/O1
ISSN:0253-4827
1573-2754
DOI:10.1007/BF02437774