Decay of shrinking solitons in multidimensional sine-Gordon equation
From MaRDI portal
Publication:1096805
DOI10.1016/0167-2789(87)90071-6zbMath0634.35077OpenAlexW2011107686MaRDI QIDQ1096805
Publication date: 1987
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-2789(87)90071-6
collapseperturbation theorynonlinear Schrödinger equationsolitonskinksbreathersdissipative mediumdiffusion type dissipationenergy emissionshrinking kinksymmetric sine-Gordon equation
Second-order nonlinear hyperbolic equations (35L70) Perturbation theories for operators and differential equations in quantum theory (81Q15) Perturbations in context of PDEs (35B20) Partial differential equations of mathematical physics and other areas of application (35Q99)
Related Items
The solution of the two-dimensional sine-Gordon equation using the method of lines, The dual reciprocity boundary element method (DRBEM) for two-dimensional sine-Gordon equation, Meshless local Petrov-Galerkin (MLPG) approximation to the two dimensional sine-Gordon equation, A modified predictor-corrector scheme for the two-dimensional sine-Gordon equation, A numerical scheme and some theoretical aspects for the cylindrically and spherically symmetric sine-Gordon equations, Dynamics of quasi-one-dimensional kinks in the two-dimensional sine- Gordon model, Head-on collisions of ring dark solitons, Boundary element solution of the two-dimensional sine-Gordon equation using continuous linear elements, Implementation of meshless LBIE method to the 2D non-linear SG problem, Unperturbed and perturbed nonlinear Schrödinger system for optical fiber solitons
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical study of \(2+1\) dimensional sine-Gordon solitons
- Quasi-harmonic rotating waves in distributed active systems
- Inelastic interactions of solitons in nearly integrable systems. I
- Inelastic interactions of solitons in nearly integrable systems. II
- Many-particle effects in nearly integrable systems
- Quantum field theory techniques in graphical enumeration
- Spiral Waves in Reaction-Diffusion Equations