Conservative numerical scheme in complex arithmetic for coupled nonlinear Schrödinger equations

zbMath1163.65325MaRDI QIDQ1026807

Christo I. Christov, Michail D. Todorov

Publication date: 3 July 2009

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

solitonsfinite difference methodsNLS-like (nonlinear Schrödinger) equationsconservative numerical schemes

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51)

Related Items (10)

N-Soliton Interactions for the Manakov System: Effects of External Potentials ⋮ Adiabatic interactions of Manakov solitons -- effects of cross-modulation ⋮ An efficient and highly accurate spectral method for modeling the propagation of solitary magnetic spin waves in thin films ⋮ Collision dynamics of elliptically polarized solitons in coupled nonlinear Schrödinger equations ⋮ Asymptotic behavior of Manakov solitons: effects of potential wells and humps ⋮ The effect of the elliptic polarization on the quasi-particle dynamics of linearly coupled systems of nonlinear Schrödinger equations ⋮ Manakov model with gain/loss terms and \(N\)-soliton interactions: effects of periodic potentials ⋮ Lobatto IIIA-IIIB discretization of the strongly coupled nonlinear Schrödinger equation ⋮ Impact of the large cross-modulation parameter on the collision dynamics of quasi-particles governed by vector NLSE ⋮ Manakov solitons and effects of external potential wells

This page was built for publication: Conservative numerical scheme in complex arithmetic for coupled nonlinear Schrödinger equations