Collective coordinate approximation to the scattering of solitons in the (1+1) dimensional NLS model

DOI10.1088/1751-8113/47/26/265201zbMath1296.35165arXiv1308.4072OpenAlexW3100142532MaRDI QIDQ5495129

H. E. Baron, G. Luchini, Wojciech J. Zakrzewski

Publication date: 31 July 2014

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.4072

zbMATH Keywords

solitoncollective coordinatesnonlinear Schrödinger equation (NLS)

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Theoretical approximation in context of PDEs (35A35) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (8)

Kink solutions in logarithmic scalar field theory: excitation spectra, scattering, and decay of bions ⋮ Scalar triplet on a domain wall: an exact solution ⋮ Collective coordinate approximation to the scattering of solitons in modified NLS and sine-Gordon models ⋮ Scattering of kinks in the \(B\varphi^4\) model ⋮ Multi-kink collisions in the \({\phi}^{6}\) model ⋮ Kink scattering from a parity-time-symmetric defect in the \(\phi^4\) model ⋮ Kink-antikink collisions in the periodic \(\varphi^4\) model ⋮ Some novel considerations about the collective coordinates approximation for the scattering of ϕ ⁴ kinks

This page was built for publication: Collective coordinate approximation to the scattering of solitons in the (1+1) dimensional NLS model