On the construction of orbits homoclinic to plane waves in integrable coupled nonlinear Schrödinger systems

DOI10.1016/S0375-9601(00)00018-9zbMath0949.37042OpenAlexW2172112167MaRDI QIDQ1569525

M. Gregory Forest, Shin-Pyng Sheu, Otis C. III Wright

Publication date: 3 July 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(00)00018-9

zbMATH Keywords

Bäcklund transformationscross-coupling homoclinic orbitsintegrable methodunstable plane wave

Mathematics Subject Classification ID

Related Items (11)

Singularly Perturbed Vector and Scalar Nonlinear Schrödinger Equations with Persistent Homoclinic Orbits ⋮ Effective integration of the nonlinear vector Schrödinger equation ⋮ Homoclinic orbits for soliton equations solvable via the quadratic bundle ⋮ Modulational instability and homoclinic orbit solutions in vector nonlinear Schrödinger equation ⋮ Dynamical character for a perturbed coupled nonlinear Schrödinger system ⋮ Homoclinic orbits for the coupled nonlinear Schrödinger system and long-short wave equation ⋮ Pair-tunneling induced localized waves in a vector nonlinear Schrödinger equation ⋮ Homoclinic orbits for coupled modified nonlinear Schrödinger equations ⋮ Solitons, breathers coexist with rogue waves for a higher-order coupled nonlinear Schrödinger system ⋮ On the Bäcklund-gauge transformation and homoclinic orbits of a coupled nonlinear Schrödinger system ⋮ An integrable model for stable/unstable wave coupling phenomena

Cites Work

• Gauge theory of Bäcklund transformations. II
• Modulational instability in a defocussing coupled nonlinear Schrödinger system
• Homoclinic orbits and chaos in discretized perturbed NLS systems. I: Homoclinic orbits
• Some Nonlinear Multiphase Interactions
• Some Properties of Nonlinear Wave Systems
• Coherent Structures in Weakly Birefringent Nonlinear Optical Fibers
• The Propagation of Nonlinear Wave Envelopes
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