Two choices of the gauge transformation for the AKNS hierarchy through the constrained KP hierarchy

DOI10.1063/1.1581973zbMath1062.37070OpenAlexW2051027122MaRDI QIDQ4833099

Yi. Cheng, Jing-Song He, Yi-Shen Li

Publication date: 14 December 2004

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

Full work available at URL: https://doi.org/10.1063/1.1581973

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) NLS equations (nonlinear Schrödinger equations) (35Q55) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (16)

Gauge transformations of two-component KP and mKP hierarchies ⋮ Kadomtsev-Petviashvili equation: one-constraint method and lump pattern ⋮ Constrained discrete KP hierarchy: the constraint on the tau functions and gauge transformations ⋮ Darboux transformations of new supersymmetric CKP and BKP hierarchies ⋮ Interaction structures of multi localized waves within the Kadomtsev-Petviashvili I equation ⋮ The Wronskian solution of the constrained discrete Kadomtsev-Petviashvili hierarchy ⋮ Gauge transformations of constrained discrete modified KP systems with self-consistent sources ⋮ BINARY NONLINEARIZATION OF THE SUPER AKNS SYSTEM ⋮ Solving bi-directional soliton equations in the KP hierarchy by gauge transformation ⋮ Gauge transformations for the constrained CKP and BKP hierarchies ⋮ The applications of the gauge transformation for the BKP hierarchy ⋮ The determinant representation of the gauge transformation for the discrete KP hierarchy ⋮ Solutions of the (2 + 1)-Dimensional KP, SK and KK Equations Generated by Gauge Transformations from Nonzero Seeds ⋮ The gauge transformation of the q-deformed modified KP hierarchy ⋮ The compatibility of additional symmetry and gauge transformations for the constrained discrete Kadomtsev-Petviashvili hierarchy ⋮ Darboux transformations of the Supersymmetric BKP hierarchy

Cites Work

• Unnamed Item
• Landau-Lifshitz equation: solitons, quasi-periodic solutions and infinite-dimensional Lie algebras

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