Influence of dislocations on kink solutions of the double sine-Gordon equation

DOI10.1134/S0965542513120099zbMath1313.35274MaRDI QIDQ2940344

S. P. Popov

Publication date: 26 January 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

fourth-order Runge-Kutta methoddouble sine-Gordon equationquasi-spectral Fourier methodkink-antikink interaction

Mathematics Subject Classification ID

Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (8)

Scattering of solitons by dislocations in the modified Korteweg de Vries-sine-Gordon equation ⋮ Kink excitation spectra in the \((1+1)\)-dimensional \(\phi^{8}\) model ⋮ Resonance dynamics of kinks in the sine-Gordon model with impurity, external force and damping ⋮ Kink-antikink collisions in the periodic \(\varphi^4\) model ⋮ Nonautonomous soliton solutions of the modified Korteweg-de Vries-sine-Gordon equation ⋮ Excitation of Large-Amplitude Localized Nonlinear Waves by the Interaction of Kinks of the Sine-Gordon Equation with Attracting Impurity ⋮ Numerical analysis of soliton solutions of the modified Korteweg-de Vries-sine-Gordon equation ⋮ Transformation of sine-Gordon solitons in models with variable coefficients and damping

Cites Work

• The sine-Gordon wobble

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