Bäcklund transformations for first and second Painlevé hierarchies
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Publication:1016705
DOI10.3842/SIGMA.2009.024zbMath1195.34137arXiv0903.0342MaRDI QIDQ1016705
Publication date: 21 May 2009
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0903.0342
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) Painlevé-type functions (33E17)
Related Items (7)
On matrix Painlevé hierarchies ⋮ Solution classes of the matrix second Painlevé hierarchy ⋮ Soliton, rational and special solutions of the Korteweg-de Vries hierarchy ⋮ Higher Painlevé transcendents as special solutions of some nonlinear integrable hierarchies ⋮ Auto-Bäcklund transformations for a differential-delay equation ⋮ Bäcklund transformation of matrix equations and a discrete matrix first Painlevé equation ⋮ On the mKdV-Liouville hierarchy and its self-similarity reduction
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