A direct theory for the perturbed unstable nonlinear Schrödinger equation

DOI10.1063/1.533281zbMath0972.35148OpenAlexW1997014102MaRDI QIDQ2737980

Sien Chi, B. L. Lou, Nian-Ning Huang, Xiang-Jun Chen

Publication date: 30 August 2001

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

Full work available at URL: https://semanticscholar.org/paper/a61210145dea5b7f2586adacfa90493ebc6de5e6

zbMATH Keywords

eigenfunctionslinearized operatorJost functionsunstable nonlinear Schrödinger equationRayleigh-Taylor problemnonlinear modulation of a high frequency mode in electron beam plasma

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Statistical mechanics of plasmas (82D10) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)

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Cites Work

• Closure of the squared Zakharov-Shabat eigenstates
• The stochastic, damped KdV equation
• A Green’s function for a linear equation associated with solitons
• A direct perturbation theory for dark solitons based on a complete set of the squared Jost solutions
• Integrals of nonlinear equations of evolution and solitary waves

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