Dynamical Behavior of Two-Soliton Solution Exhibited by Perturbed Sine-Gordon Equation

DOI10.1002/mana.19951710105zbMath0829.35110OpenAlexW2157557933MaRDI QIDQ4324496

Chong-Qing Cheng, Tassilo Kuepper

Publication date: 2 March 1995

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19951710105

zbMATH Keywords

inverse scattering transformperturbed sine-Gordon equationkink-antikink solitons

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53)

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Existence of kink waves and periodic waves for a perturbed defocusing mKdV equation

Cites Work

• Geometry of the modulational instability. III: Homoclinic orbits for the periodic sine-Gordon equation
• Period doubling solitons: Yes or no?
• Frequency and Phase Locking of Spatially Periodic Perturbed Sine-Gordon Breather Trains
• A direct approach to studying soliton perturbations