scientific article; zbMATH DE number 953144
zbMath0862.34003arXivsolv-int/9412002MaRDI QIDQ4718088
Andrew P. Bassom, Peter A. Clarkson
Publication date: 26 May 1997
Full work available at URL: https://arxiv.org/abs/solv-int/9412002
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exact solutionsfourth Painlevé equationrational solutionsBäcklund transformationsnonlinear superposition principle
Nonlinear ordinary differential equations and systems (34A34) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) 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) Explicit solutions, first integrals of ordinary differential equations (34A05) Other functions coming from differential, difference and integral equations (33E30) Additive difference equations (39A10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)
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