Resonance dynamics of kinks in the sine-Gordon model with impurity, external force and damping

DOI10.1016/j.cam.2016.04.013zbMath1350.35024OpenAlexW2341774756MaRDI QIDQ329777

Azamat M. Gumerov, Evgenii G. Ekomasov, Roman V. Kudryavtsev

Publication date: 21 October 2016

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2016.04.013

zbMATH Keywords

localized nonlinear waves generationmodified sine-Gordon equation

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Soliton equations (35Q51) Resonance in context of PDEs (35B34) Soliton solutions (35C08) Second-order semilinear hyperbolic equations (35L71)

Related Items (4)

Changing the Dynamic Parameters of Localized Breather and Soliton Waves in the Sine-Gordon Model with Extended Impurity, External Force, and Decay in the Autoresonance Mode ⋮ Kink Dynamics in the $\varphi^{4}$ Model with Extended Impurity ⋮ Excitation of Large-Amplitude Localized Nonlinear Waves by the Interaction of Kinks of the Sine-Gordon Equation with Attracting Impurity ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Scattering of solitons by dislocations in the modified Korteweg de Vries-sine-Gordon equation
• Perturbation of topological solitons due to sine-Gordon equation and its type
• High-order solution of one-dimensional sine-Gordon equation using compact finite difference and DIRKN methods
• Dynamics of quasi-one-dimensional kinks in the two-dimensional sine- Gordon model
• Transformation of sine-Gordon solitons in models with variable coefficients and damping
• The sine-Gordon model and its applications. From pendula and Josephson junctions to gravity and high-energy physics
• The solution of the sine-gordon equation using the method of lines
• 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
• Shift of the boundary conditions for partial differential equations
• A numerical method for the one-dimensional sine-Gordon equation
• Numerical Absorbing Boundary Conditions for the Wave Equation
• Radiation boundary conditions for acoustic and elastic wave calculations
• On radial sine-Gordon breathers
• Interaction of sine‐Gordon solitons in the model with attracting impurities
• A predictor--corrector scheme for the sine-Gordon equation
• Scattering of sine-Gordon kinks on potential wells
• A numerical method for one‐dimensional nonlinear Sine‐Gordon equation using collocation and radial basis functions
• Finite-difference schemes for nonlinear wave equation that inherit energy conservation property
• Interaction of sine-Gordon kinks with defects: Phase space transport in a two-mode model

This page was built for publication: Resonance dynamics of kinks in the sine-Gordon model with impurity, external force and damping