Instabilities of multiphase wave trains in coupled nonlinear Schrödinger equations: A bisymplectic framework

DOI10.1063/1.1996831zbMath1110.35086OpenAlexW2049109336MaRDI QIDQ3438558

Fiona E. Laine-Pearson

Publication date: 16 May 2007

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

Full work available at URL: https://doi.org/10.1063/1.1996831

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)

Related Items (2)

The Stability of Two, Three, and Four Wave Interactions of a Prototype System ⋮ Multisymplectic schemes for strongly coupled Schrödinger system

Cites Work

• Unnamed Item
• Unnamed Item
• The nonlinear Schrödinger equation. Self-focusing and wave collapse
• Nonlinear dynamics of coupled chains of particles
• Nonfocusing instabilities in coupled, integrable nonlinear Schrödinger PDE's
• On the exchange of energy in coupled Klein --- Gordon equations
• The influence of modulational instability on energy exchange in coupled sine-Gordon equations
• Some Nonlinear Multiphase Interactions
• Toral-equivariant partial differential equations and quasiperiodic patterns
• Multi-symplectic structures and wave propagation
• Multisymplectic Relative Equilibria, Multiphase Wavetrains, and Coupled NLS Equations
• Nonlinear Counterpropagating Waves, Multisymplectic Geometry, and the Instability of Standing Waves

This page was built for publication: Instabilities of multiphase wave trains in coupled nonlinear Schrödinger equations: A bisymplectic framework