scientific article

zbMath0728.35001MaRDI QIDQ3997658

Yusuke Kato, Naruyoshi Asano

Publication date: 17 September 1992

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Cauchy problemrecursion operatorscompletely integrable systemsinverse scattering methodLax pairsWahlquist- Estabrook prolongation

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) KdV equations (Korteweg-de Vries equations) (35Q53) Variational methods applied to PDEs (35A15) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Theoretical approximation in context of PDEs (35A35) Relations of PDEs on manifolds with hyperfunctions (58J15) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Other special methods applied to PDEs (35A25)

Related Items (9)

Weyl–Titchmarsh $M$-Function Asymptotics, Local Uniqueness Results, Trace Formulas, and Borg-type Theorems for Dirac Operators ⋮ Stability of the cauchy problem for the korteweg-devries equation: part 1 ⋮ Nonlinear physics: integrability, chaos and beyond ⋮ \(\mathcal J\)-self-adjointness of a class of Dirac-type operators ⋮ Symmetry classification of third-order nonlinear evolution equations. I: Semi-simple algebras ⋮ Stability of the cauchy problem for the korteweg-de vries equation: Part 2 ⋮ Galilei symmetries of KdV-type nonlinear evolution equations ⋮ Uniqueness in a frequency-domain inverse problem of a stratified uniaxial bianisotropic medium. ⋮ Elliptic algebro-geometric solutions of the KdV and AKNS hierarchies - an analytic approach

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