Miura and generalized Bäcklund transformation for KdV hierarchy

DOI10.1088/1751-8113/49/50/504003zbMath1360.37165arXiv1610.02303OpenAlexW2530707305MaRDI QIDQ2960263

J. F. Gomes, A. H. Zimerman, Ana L. Retore

Publication date: 8 February 2017

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

Full work available at URL: https://arxiv.org/abs/1610.02303

zbMATH Keywords

solitonsintegrable modelsBäcklund transformation

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) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (6)

A new spectral problem and the related integrable nonlinear evolution equations ⋮ Negative flows of generalized KdV and mKdV hierarchies and their gauge-Miura transformations ⋮ Quantum integrability and quantum groups: a special issue in memory of Petr P Kulish ⋮ Gauge symmetry origin of Bäcklund transformations for Painlevé equations ⋮ Generalized Bäcklund transformations for affine Toda hierarchies ⋮ Gauge Miura and Bäcklund transformations for generalized A _n -KdV hierarchies

Cites Work

• A new class of integrable defects
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