The Prelle-Singer method and Painlevé hierarchies

DOI10.1063/1.4875677zbMath1305.37036arXiv1405.2720OpenAlexW2593539302MaRDI QIDQ5171374

Murugaian Senthilvelan, Andrew Pickering, Pilar Ruiz Gordoa

Publication date: 26 July 2014

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

Full work available at URL: https://arxiv.org/abs/1405.2720

zbMATH Keywords

Hamiltonian operatorfirst integralsPrelle-Singer methodcompletely integrable PDE hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55)

Related Items

An investigation of solving third-order nonlinear ordinary differential equation in complex domain by generalising Prelle-Singer method

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