Topological soliton perturbation for sine-Gordon equation with full nonlinearity

DOI10.1016/j.physleta.2010.06.060zbMath1238.35117OpenAlexW1984139766MaRDI QIDQ420402

J. Herrera, H. S. Yoon

Publication date: 22 May 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2010.06.060

Mathematics Subject Classification ID

Soliton equations (35Q51) Perturbations in context of PDEs (35B20) Soliton solutions (35C08)

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Solitons in antiferroelectric liquid crystal and Josephson junction: the double sine-Gordon model ⋮ Mathematical structure of topological solitons due to the sine-Gordon equation ⋮ Analytical solution of fluxons in a non-homogeneous Josephson junction

Cites Work

• Perturbation of topological solitons due to sine-Gordon equation and its type
• New exact solutions of the double sine-Gordon equation using symbolic computations
• Dynamics of relativistic solitons due to pseudo Sine-Gordon equation
• Quantization of sine-Gordon solitons on the circle: Semiclassical vs. exact results
• Dynamics of sine-Gordon solitons
• A direct method for solving sine-Gordon type equations
• New peakon and multi-compacton solitary wave solutions of fully nonlinear sine-Gordon equa\-tion
• The tanh method and a variable separated ODE method for solving double sine-Gordon equation
• Boundedness of voltags and currents in Josephson junctions represented by the perturbed sine-Gordon equation
• Soliton complex dynamics in strongly dispersive medium.

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