Dynamical character for a perturbed coupled nonlinear Schrödinger system

DOI10.1007/BF02464230zbMath1144.35466MaRDI QIDQ939956

B. E. Eshmatov

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

invariant manifoldcoupled nonlinear Schrödinger systemdynamical character

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) Inertial manifolds (35B42)

Cites Work

• Unnamed Item
• On integrability and chaos in discrete systems
• On the construction of orbits homoclinic to plane waves in integrable coupled nonlinear Schrödinger systems
• Nonfocusing instabilities in coupled, integrable nonlinear Schrödinger PDE's
• On the Bäcklund-gauge transformation and homoclinic orbits of a coupled nonlinear Schrödinger system
• Fractal dependence of vector-soliton collisions in birefringent fibers
• On discretizations of the vector nonlinear Schrödinger equation

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