Scattering of solitons by dislocations in the modified Korteweg de Vries-sine-Gordon equation

DOI10.1134/S0965542515120143zbMath1337.35128MaRDI QIDQ266097

S. P. Popov

Publication date: 13 April 2016

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

zbMATH Keywords

solitonmultisoliton interactionantikinkbreatherkinkmKdV equationmKdV-SG equationnonautonomous mKdV-SG equationSG equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Numerical methods for discrete and fast Fourier transforms (65T50) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Bifurcations in context of PDEs (35B32) Soliton solutions (35C08)

Related Items (3)

Resonance dynamics of kinks in the sine-Gordon model with impurity, external force and damping ⋮ Infinitely many nonlocal symmetries and nonlocal conservation laws of the integrable modified KdV-sine-Gordon equation ⋮ Numerical evaluations of periodic wave solutions, integrable time discretization and their applications to the mKdV–sine-Gordon equation

Cites Work

• Conservation laws for some nonlinear evolution equations which describe pseudo-spherical surfaces
• The Bäcklund transformations, exact solutions, and conservation laws for the compound modified Korteweg-de Vries-Sine-Gordon equations which describe pseudospherical surfaces
• Influence of dislocations on kink solutions of the double sine-Gordon equation
• Structure and properties of four-kink multisolitons of the sine-Gordon equation
• Application of the quasi-spectral fourier method to soliton equations
• Nonautonomous mixed mKdV–sinh–Gordon hierarchy
• On the nonlinear stability of mKdV breathers
• Few-optical-cycle dissipative solitons
• The Novel Multi-Soliton Solutions of the MKdV–Sine Gordon Equations
• Perturbed soliton solutions of the sine-Gordon equation

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