Exact solutions of nonlinear equations and the method of operator identities

DOI10.1016/0024-3795(93)90495-AzbMath0770.35071MaRDI QIDQ2365662

Alexander L. Sakhnovich

Publication date: 29 June 1993

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

singularitiesKorteweg-de Vries equationwave functionschiral field equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Matrix equations and identities (15A24) NLS equations (nonlinear Schrödinger equations) (35Q55) Solutions to PDEs in closed form (35C05)

Related Items

Completion problems and scattering problems for Dirac type differential equations with singularities ⋮ Dynamical and spectral Dirac systems: response function and inverse problems ⋮ Stability of the procedure of explicit recovery of skew-selfadjoint Dirac systems from rational Weyl matrix functions ⋮ Canonical systems and transfer matrix-functions ⋮ Iterated Bäcklund-Darboux transform for canonical systems ⋮ Admissible transformations and normalized classes of nonlinear Schrödinger equations ⋮ Solitons of some nonlinear sigma-like models ⋮ Generalized Bäcklund-Darboux transformation: Spectral properties and nonlinear equations ⋮ Bundle bispectrality for matrix differential equations. ⋮ More common errors in finding exact solutions of nonlinear differential equations. I ⋮ Pseudo-canonical systems with rational Weyl functions: Explicit formulas and applications ⋮ Skew-selfadjoint Dirac systems with rational rectangular Weyl functions: explicit solutions of direct and inverse problems and integrable wave equations ⋮ Canonical Systems with Rational Spectral Densities: Explicit Formulas and Applications ⋮ Discrete skew self-adjoint canonical system and the isotropic Heisenberg magnet model ⋮ Iterated Bäcklund-Darboux transformation and transfer matrix-function (nonisospectral case).

Cites Work

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