Coupled Painlevé systems and quartic potentials

DOI10.1088/0305-4470/34/11/316zbMath0985.37077OpenAlexW1996947867MaRDI QIDQ2716891

Andrew N. W. Hone

Publication date: 16 May 2001

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/34/11/316

zbMATH Keywords

Bäcklund transformationssimilarity reductionsseparation of variablesHirota-Satsuma systemquartic potentialscoupled Painlevé-type equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55)

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