Darboux covariant soliton equations of inhomogeneous type

DOI10.1016/S0375-9601(02)00047-6zbMath0985.35073OpenAlexW1996864729WikidataQ126671727 ScholiaQ126671727MaRDI QIDQ5956549

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Publication date: 20 February 2002

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

Full work available at URL: https://doi.org/10.1016/s0375-9601(02)00047-6

zbMATH Keywords

nonlinear Schrödinger equationmodified Korteweg-de Vries equationDarboux transformationsoliton propagation in media with inhomogeneities

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Solutions to PDEs in closed form (35C05)

Related Items (4)

An inhomogeneous space-time patching model based on a nonlocal and nonlinear Schrödinger equation ⋮ Parametrically driven localized magnetic excitations with spatial inhomogeneity ⋮ Optical solitons in some deformed MB and NLS-MB equations ⋮ Generalized inhomogeneous Heisenberg ferromagnet model and generalized nonlinear Schrödinger equation

Cites Work

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• Inverse scattering method with variable spectral parameter
• Vortex string dynamics in an external antisymmetric tensor field
• Integrable coupling of optical waves in higher-order nonlinear Schrödinger equations
• Systematic Derivation of Darboux Covariant (1+1) Dimensional Soliton Equations
• Darboux Covariant Soliton Equations Associated with the su(2) Linear System
• Painlevé analysis of the damped, driven nonlinear Schrödinger equation
• Darboux transformation and Crum's formula for multi-component integrable equations

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