Sine-Gordon Soliton on a Cnoidal Wave Background

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.

11 pages, 5 figures, Contents changed

References in corpus (3)

• Spatial Solitons in Optically-Induced Gratings
• Band-gap solitons in nonlinear optically-induced lattices
• Soliton on a Cnoidal Wave Background in the coupled nonlinear Schrödinger equation

Cited by in corpus (1)

• Soliton Solutions of the Toda Hierarchy on Quasi-Periodic Backgrounds Revisited