A New Derivation of the Bäcklund Transformation for the Volterra Lattice

DOI10.1143/JPSJ.67.2237zbMath0942.35006MaRDI QIDQ4491478

Miki Wadati, Yasumasa Kajinaga

Publication date: 26 July 2000

Published in: Journal of the Physical Society of Japan (Search for Journal in Brave)

zbMATH Keywords

Miura transformationinverse scattering problems

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (5)

Decomposition of a \(2 + 1\)-dimensional Volterra type lattice and its quasi-periodic solutions ⋮ Generalized Volterra lattices: binary Darboux transformations and self-consistent sources ⋮ Behaviour of the extended Volterra lattice ⋮ Functional Representation of the Volterra Hierarchy ⋮ Integrability and asymptotic behaviour of a differential-difference matrix equation

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