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Sine-Gordon Soliton on a Cnoidal Wave Background

H. J. Shin
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Abstract

The method of Darboux transformation, which is applied on cnoidal wave solutions of the sine-Gordon equation, gives solitons moving on a cnoidal wave background. Interesting characteristics of the solution, i.e., the velocity of solitons and the shift of crests of cnoidal waves along a soliton, are calculated. Solutions are classified into three types (Type-1A, Type-1B, Type-2) according to their apparent distinct properties.

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H. J. Shin. 2007-08-08. Sine-Gordon Soliton on a Cnoidal Wave Background. https://doi.org/10.1088/0305-4470%2F38%2F15%2F006

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