Sine-Gordon Soliton on a Cnoidal Wave Background

Details Sine-Gordon Soliton on a Cnoidal Wave Background Sine-Gordon Soliton on a Cnoidal Wave Background

2004-10-29

arxiv.org/abs/nlin/0410065v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

11 pages, 5 figures, Contents changed

Scientific paper

10.1088/0305-4470/38/15/006

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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