Abstract
The traveling wave soliton solutions and pair soliton solution to a class of new completely integrable shallow water equation, Camassa-Holm equation are studied. The concept of concave or convex peaked soliton and smooth soliton were introduced. And the research shows that the traveling wave solution of that equation possesses concave and convex peaked soliton and smooth soliton solutions with the peakson. Simultaneously by applying Backlund transformation the new pair soliton solutions to this class of equation are given.
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Contributed by Lupiu Zeng-rong
Foundation items: the National Natural Science Foundation of China (100710331); the Natural Science Foundation of Jiangsu (BQ98023); the Education Department of Foundation for Backbone Teachers (200065-30)
Biography: Tupian Li-xin (1963-), Professor, Ph D
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Li-xin, T., Gang, X. & Zeng-rong, L. The concave or convex peaked and smooth soliton solutions of Camassa-Holm equation. Appl Math Mech 23, 557–567 (2002). https://doi.org/10.1007/BF02437774
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DOI: https://doi.org/10.1007/BF02437774