Integrable coupling of optical waves in higher-order nonlinear Schrödinger equations

DOI10.1016/S0375-9601(99)00713-6zbMath0938.35175MaRDI QIDQ1967051

Jongbae Kim, Q.-Han Park, Hyun-Jong Shin

Publication date: 8 March 2000

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

zbMATH Keywords

integrabilityLax paircoupled higher-order nonlinear Schrödinger equationpropagation of multi-mode optical pulses in a fiber

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) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Lasers, masers, optical bistability, nonlinear optics (78A60)

Related Items (7)

Riemann-Hilbert problems and soliton solutions for a generalized coupled Sasa-Satsuma equation ⋮ Modulation instability and dynamics for the Hermitian symmetric space derivative nonlinear Schrödinger equation ⋮ Sasa-Satsuma equation, unstable plane waves and heteroclinic connections ⋮ Dark solitons in \(N\)-coupled higher order nonlinear Schrödinger equations ⋮ Darboux covariant soliton equations of inhomogeneous type ⋮ Quasideterminant solutions of nonlinear Schrödinger equations based on Hermitian symmetric spaces ⋮ The algebraic representation for high order solution of Sasa-Satsuma equation

Cites Work

• Unnamed Item
• Nonlinear Schrödinger equations and simple Lie algebras
• New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation
• Exact envelope-soliton solutions of a nonlinear wave equation

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