Integrability aspects of NLS-MB system with variable dispersion and nonlinear effects

DOI10.1016/S0960-0779(00)00069-2zbMath1022.35068OpenAlexW1994569221MaRDI QIDQ1862319

P. Shanmugha Sundaram, A. Mahalingam, K. Porsezian

Publication date: 19 March 2003

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

Full work available at URL: https://doi.org/10.1016/s0960-0779(00)00069-2

zbMATH Keywords

integrabilitynonlinear effectsvariable dispersionPainlevé singularity analysis

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 (8)

Inverse scattering transform and soliton classification of higher-order nonlinear Schrödinger-Maxwell-Bloch equations ⋮ Soliton interactions in a generalized inhomogeneous coupled Hirota-Maxwell-Bloch system ⋮ Optical solitons in some deformed MB and NLS-MB equations ⋮ INTEGRABLE ASPECTS AND SOLITON-LIKE SOLUTIONS OF AN INHOMOGENEOUS COUPLED HIROTA–MAXWELL–BLOCH SYSTEM IN OPTICAL FIBERS WITH SYMBOLIC COMPUTATION ⋮ Singularity structure analysis of inhomogeneous Hirota and higher order nonlinear Schrödinger equations ⋮ Analytic studies on a generalized inhomogeneous higher-order nonlinear Schrödinger equation for the Heisenberg ferromagnetic spin chain ⋮ Optical soliton propagation in erbium-doped fibre with variable dispersion and nonlinear effects ⋮ Integrability of an inhomogeneous nonlinear Schrödinger equation in Bose–Einstein condensates and fiber optics

Cites Work

• Inverse scattering method with variable spectral parameter
• Painlevé property of the inhomogeneous coupled nonlinear Schrödinger equations
• Slowly varying solitary waves. II. Nonlinear Schrödinger equation
• Extension of inverse scattering method to nonlinear evolution equation in nonuniform medium
• The Painlevé property for partial differential equations
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• Two-dimensional self-modulation of lower hybrid waves in inhomogeneous plasmas
• New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation
• Optical Soliton Propagation in a Coupled System of the Nonlinear Schrödinger Equation and the Maxwell-Bloch Equations
• Multi-Soliton Solutions of a Coupled System of the Nonlinear Schrödinger Equation and the Maxwell-Bloch Equations
• Painlevé analysis of the damped, driven nonlinear Schrödinger equation

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