scientific article

zbMath0526.34002MaRDI QIDQ3041525

V. I. Gromak, N. A. Lukashevich

Publication date: 1982

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

zbMATH Keywords

Schrödinger equationKorteweg-de Vries equationone-parameter family of solutionsPainlevé equationsSine-Gordon equationtranscendental solutions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) NLS equations (nonlinear Schrödinger equations) (35Q55) Growth and boundedness of solutions to ordinary differential equations (34C11) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)

Related Items (6)

Hamiltonians associated with the sixth Painlevé equation ⋮ Special functions arising from discrete Painlevé equations: a survey ⋮ The relationship between semiclassical Laguerre polynomials and the fourth Painlevé equation ⋮ On integrable Ermakov-Painlevé IV systems ⋮ System of three-wave resonant interaction and P-type equations ⋮ Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II

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