Exact Solutions of a Variable-Coefficient KdV Equation Arising in a Shallow Water

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概要

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• This paper sttrdies a variable-coefficient KdV (vcKdV) eqtuation arising in a shalloxv water. Fora practically acceptable xvater bottorn, we find tlaat it can be transforzaaed into the cylindricalKdV eqtration. As a result, sexzeral exact botunded soltmtions are obtained. One of the soltttionshas the shape of a solitary wave xvith a sl?e1f behind, which confirrns approxinaate analytical andnuznerical restrlts in the literattrre.

• 社団法人日本物理学会の論文
• 1999-06-15

著者

• Dai Hui-hui

  Department Of Mathematics City University Of Hong Kong

関連論文

• Singular Dynamics with Application to Singular Waves in Physical Problems (General)
• Transformations for the Camassa-Holm Equation,Its High-Frequency Limit and the Sinh-Gordon Equation
• New Finite-Dimensional Completely Integrable Systems Associated with the Sine-Gordon Equation
• Exact Solutions of a Variable-Coefficient KdV Equation Arising in a Shallow Water

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