The Concave or Convex Peaked and Smooth Soliton Solutions of Camassa-Holm Equation

TIAN Li-xin; XU Gang; LIU Zeng-rong

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Article Navigation > Applied Mathematics and Mechanics > 2002 > 23(5): 497-506

TIAN Li-xin, XU Gang, LIU Zeng-rong. The Concave or Convex Peaked and Smooth Soliton Solutions of Camassa-Holm Equation[J]. Applied Mathematics and Mechanics, 2002, 23(5): 497-506.

Citation:

TIAN Li-xin, XU Gang, LIU Zeng-rong. The Concave or Convex Peaked and Smooth Soliton Solutions of Camassa-Holm Equation[J]. Applied Mathematics and Mechanics, 2002, 23(5): 497-506.

Citation:

TIAN Li-xin, XU Gang, LIU Zeng-rong. The Concave or Convex Peaked and Smooth Soliton Solutions of Camassa-Holm Equation[J]. Applied Mathematics and Mechanics, 2002, 23(5): 497-506.

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The Concave or Convex Peaked and Smooth Soliton Solutions of Camassa-Holm Equation

1.
Department of Mathematics, Jiangsu University of Science and Technolgoy, Zhenjiang, Jiangsu 212013, P R China;
2.
Department of Mathematics, Shanghai University, Shanghai 200018, P R China

Received Date: 2001-08-20
Rev Recd Date: 2001-11-28
Publish Date: 2002-05-15

Abstract

Abstract

The traveling wave soliton solutions and pair soliton solution to a class of new completely integralbe 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.
- soliton,
- peakson,
- integrable system,
- traveling wave solution

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References(10)

References

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