Cauchy problem for the linearized version of the Generalized Polynomial KdV equation

DOI10.1063/1.529624zbMath0761.35098OpenAlexW2033997816MaRDI QIDQ4027874

Russi G. Yordanov

Publication date: 9 March 1993

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

Full work available at URL: http://hdl.handle.net/10919/47030

zbMATH Keywords

Lax pairsprolonged squared eigenfunctions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10)

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Cites Work

• Closure of the squared Zakharov-Shabat eigenstates
• Completeness of Derivatives of Squared Schrödinger Eigenfunctions and Explicit Solutions of the Linearized K<scp>d</scp>V Equation
• Schrödinger spectral problems with energy–dependent potentials as sources of nonlinear Hamiltonian evolution equations
• Korteweg‐devries equation and generalizations. VI. methods for exact solution

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