Modified nonlinear Schrödinger equation: Spectral transform and N-soliton solution

DOI10.1063/1.531204zbMath0844.35115OpenAlexW2035811322MaRDI QIDQ4873421

Evgeny V. Doktorov, Valery S. Shchesnovich

Publication date: 10 September 1996

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.531204

zbMATH Keywords

gauge invariance\(N\)-soliton solutionmodified nonlinear Schrödinger equationspectral transform matrix

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) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (5)

Soliton solutions and self-steepening in the photon-conserving nonlinear Schrödinger equation ⋮ Nonlinear von Neumann-type equations: Darboux invariance and spectra ⋮ Perturbation theory for the modified nonlinear Schrödinger solitons ⋮ Dynamics of subpicosecond dispersion-managed soliton in a fibre: a perturbative analysis ⋮ On Asymptotic Dynamical Regimes of Manakov N-soliton Trains in Adiabatic Approximation

Cites Work

• The inverse scattering transform for the time-dependent Schrödinger equation and Kadomtsev-Petviashvili equation
• Modified Nonlinear Schrödinger Equation for Alfvén Waves Propagating along the Magnetic Field in Cold Plasmas
• A Generalization of Inverse Scattering Method
• Bäcklund transformations, soliton solutions and wave functions of Kaup–Newell and Wadati–Konno–Ichikawa systems
• Scattering and inverse scattering for first order systems
• Nonlinear systems related to an arbitrary space–time dependence of the spectral transform
• Linear spectral problems, non-linear equations and the δ-method
• Nonlinear evolution equations with non-analytic dispersion relations in 2+1 dimensions: bilocal approach
• Erratum: Gauge transformations for the quadratic bundle [J. Math. Phys. 3 0,1744 (1989)]

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