A method of proving the convergence of the Painleve expansions of partial differential equations

DOI10.1088/0951-7715/7/2/013zbMath0840.35094OpenAlexW1989382367MaRDI QIDQ4862499

Nalini Joshi, Johannes Asmus Petersen

Publication date: 8 February 1996

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/7/2/013

zbMATH Keywords

convergenceKorteweg-de Vries equationsexpansions around movable singularity manifolds

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) Fixed-point theorems (47H10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Related Items (3)

Complex blow-up in Burgers' equation: an iterative approach ⋮ Toward a General Solution of the Three-Wave Partial Differential Equations ⋮ Lorentzian Toda field theories

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