Collective Coordinates and Length-Scale Competition in Spatially Inhomogeneous Soliton-Bearing Equations
From MaRDI portal
Publication:4210362
DOI10.1137/S0036144597317418zbMath0926.35135OpenAlexW2046434373MaRDI QIDQ4210362
No author found.
Publication date: 21 September 1998
Published in: SIAM Review (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s0036144597317418
KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Perturbations in context of PDEs (35B20)
Related Items (14)
A modulation equations approach for numerically solving the moving soliton and radiation solutions of NLS ⋮ Self-similar solutions and collective coordinate methods for nonlinear Schrödinger equations ⋮ Lagrangian formalism in perturbed nonlinear Klein-Gordon equations ⋮ Length-scale competition in the parametrically driven nonlinear Dirac equation with a spatially periodic force ⋮ Collective coordinate approximation to the scattering of solitons in modified NLS and sine-Gordon models ⋮ Some aspects of nonlinearity and self-organization in biosystems on examples of localized excitations in the DNA molecule and generalized Fisher-KPP model ⋮ Modulation of the velocity of soliton-like perturbations for the sine-Gordon equation with external force and dissipation ⋮ Moving gap solitons in periodic potentials ⋮ Soliton ratchets in homogeneous nonlinear Klein-Gordon systems ⋮ An application of the Maslov complex germ method to the one-dimensional nonlocal Fisher–KPP equation ⋮ Renormalization group reduction of pulse dynamics in thermally loaded optical parametric oscillators ⋮ Perturbation theory for the double sine-Gordon equation ⋮ Exact stationary solutions of the parametrically driven and damped nonlinear Dirac equation ⋮ The sine-Gordon equation in the finite line
This page was built for publication: Collective Coordinates and Length-Scale Competition in Spatially Inhomogeneous Soliton-Bearing Equations
