New direct linearizations for KdV and solutions of the other Cauchy problem

DOI10.1063/1.532740zbMath0945.35081OpenAlexW1973598162MaRDI QIDQ4701901

P. C. Sabatier

Publication date: 21 November 1999

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

Full work available at URL: https://doi.org/10.1063/1.532740

zbMATH Keywords

inverse spectral problemdirect linearizationCauchy problem for KdVGelfand Levitan formMarchenko form

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Other special methods applied to PDEs (35A25)

Related Items (4)

Characteristic properties of the scattering data for the mKdV equation on the half-line ⋮ Generation of asymptotic solitons of the nonlinear Schrödinger equation by boundary data ⋮ Elbow Scattering and Boundary Value Problems of NLPDE ⋮ Elbow scattering and inverse scattering applications to LKdV and KdV

Cites Work

• Solution of a Schrödinger inverse scattering problem with a polynomial spectral dependence in the potential
• First and second order nonlinear evolution equations from an inverse spectral problem
• The solution of certain initial boundary-value problems for the linearized Korteweg—deVries equation
• On local inverse transforms

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