Coupled-mode envelope solitary waves in a pair of cubic Schrödinger equations with cross modulation: Analytical solution and collisions with application to Rossby waves

DOI10.1016/S0960-0779(99)00016-8zbMath0945.35086MaRDI QIDQ1573895

Benkui Tan, John P. Boyd

Publication date: 9 August 2000

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

zbMATH Keywords

collisionsenvelope solitoncoupled-mode solitary wavecoupled-nonlinear Schrödinger equations

Mathematics Subject Classification ID

Solitary waves for incompressible inviscid fluids (76B25) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items

The evolution of periodic waves of the coupled nonlinear Schrödinger equations, Smoothing estimates for non-dispersive equations, Analysis of a Galerkin approach applied to a system of coupled Schrödinger equations, Perturbation theory for nearly integrable multicomponent nonlinear PDEs, Multisymplectic integration of N-coupled nonlinear Schrödinger equation with destabilized periodic wave solutions, Variational iteration method for coupled nonlinear Schrödinger equations, A new loop algebra and its application to the multi-component S-mKdV hierarchy, Nonlinear interaction of co-directional shear horizontal waves in a two-layered elastic medium, (2 + 1)-dimensional coupled model for envelope Rossby solitary waves and its solutions as well as chirp effect, Nonlinear Schrödinger equation for envelope Rossby waves with complete Coriolis force and its solution, Stability and long time evolution of the periodic solutions to the two coupled nonlinear Schrödinger equations, The multi-component TD hierarchy and its multi-component integrable coupling system with five arbitrary functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Integrability and singularity structure of coupled nonlinear Schrödinger equations.
• To the integrability of the system of two coupled nonlinear Schrödinger equations
• Classification of the solitary waves in coupled nonlinear Schrödinger equations
• Vector Solitons and Their Internal Oscilliations in Birefringent Nonlinear Optical Fibers
• Novel soliton states and bifurcation phenomena in nonlinear fiber couplers
• Multiple Permanent‐wave Trains in Nonlinear Systems
• A Practical Guide to Pseudospectral Methods
• Some Properties of Nonlinear Wave Systems
• Coherent Structures in Weakly Birefringent Nonlinear Optical Fibers