Canonical structure of soliton equations. I

DOI10.1016/0167-2789(82)90049-5zbMath1194.35342OpenAlexW1979466666MaRDI QIDQ995146

J. M. Alberty, Koikawa, Takao, Ryu Sasaki

Publication date: 13 September 2010

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(82)90049-5

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (16)

Generalized integrable hierarchies of AKNS type, super Dirac type and super NLS-mKdV type ⋮ Field theoretical construction of an infinite set of quantum commuting operators related with soliton equations ⋮ A recursive generation of local higher-order sine–Gordon equations and their Bäcklund transformation ⋮ Wadati-Konno-Ichikawa-type integrable systems and their constructions ⋮ The relationship between the conservation laws and multi‐Hamiltonian structures of the Kundu equation ⋮ New integrable \(\mathrm{sl}(2,\mathbb{R})\)-generalization of the classical Wadati-Konno-Ichikawa hierarchy ⋮ On the permutability of Bäcklund transformations. I: Infinitesimal Bäcklund transformations of the sine-Gordon equation ⋮ Adjoint symmetry constraints of the vector KN equations and their integrable coupling system ⋮ ON κ IN THE ⋆ PRODUCT ⋮ A spectral problem based on so$(3,\mathbb {R})$(3,R) and its associated commuting soliton equations ⋮ The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems ⋮ Unnamed Item ⋮ Canonical structure of soliton equations: II. The Kaup-Newell system ⋮ Conservation laws and \(\tau\)-symmetry algebra of the Gerdjikov-Ivanov soliton hierarchy ⋮ Lax representations for triplets of two-dimensional scalar fields of the chiral type ⋮ A \(\tau\)-symmetry algebra of the generalized derivative nonlinear Schrödinger soliton hierarchy with an arbitrary parameter

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