The theory and applications of the unstable nonlinear Schrödinger equation

DOI10.1016/0960-0779(91)90035-8zbMath0755.35133OpenAlexW1978885235MaRDI QIDQ1185423

Takeshi Iizuka, Miki Wadati, Tetsu Yajima

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1016/0960-0779(91)90035-8

zbMATH Keywords

initial value problemsdispersion relationinverse scattering methodsoliton interactionRayleigh-Taylor instability problemelectron beam plasma

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (3)

Elementary functions for constructing exact solutions to nonlinear partial differential equations with applications to nonlinear Schrödinger type and MHD equations ⋮ Hamiltonian formalism for the nonlinear Schrödinger equation in physical space–time ⋮ Exact soliton solutions for some nonlinear partial differential equations

Cites Work

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• Dynamical systems, theory and applications. Battelle Seattle 1974 Rencontres
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• On the Susceptibility of Local Elastic Buckling to Chaos

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