Backlund transformations of MKdV and Painleve equations

DOI10.1088/0951-7715/7/1/015zbMath0838.34009arXivsolv-int/9305002OpenAlexW3103240256MaRDI QIDQ4862486

Jeremy Schiff

Publication date: 18 March 1996

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9305002

zbMATH Keywords

Painlevé equationsMKdV equationtransformation groups

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) KdV equations (Korteweg-de Vries equations) (35Q53) 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)

Related Items (5)

FROM KP/UC HIERARCHIES TO PAINLEVÉ EQUATIONS ⋮ A dynamical systems approach to the fourth Painlevé equation ⋮ The fourth Painlevé equation and associated special polynomials ⋮ Special polynomials associated with rational solutions of the Painlevé equations and applications to soliton equations ⋮ Gauge symmetry origin of Bäcklund transformations for Painlevé equations

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