Impact of the large cross-modulation parameter on the collision dynamics of quasi-particles governed by vector NLSE

DOI10.1016/j.matcom.2009.06.020zbMath1176.65098OpenAlexW1996571234MaRDI QIDQ1038118

Christo I. Christov, Michail D. Todorov

Publication date: 17 November 2009

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2009.06.020

zbMATH Keywords

quasi-particlescoupled nonlinear Schrödinger equations (CNLSE)cross-modulation

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items

Soliton solutions of NLSE with quadratic-cubic nonlinearity and stability analysis, Solitary wave interactions and reshaping in coupled systems, N-Soliton Interactions for the Manakov System: Effects of External Potentials, Adiabatic interactions of Manakov solitons -- effects of cross-modulation, 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 solitons and effects of external potential wells

Cites Work

• Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrödinger equation
• Conservative numerical scheme in complex arithmetic for coupled nonlinear Schrödinger equations
• Strong coupling of Schrödinger equations: conservative scheme approach
• Numerical simulation of coupled nonlinear Schrödinger equation