Pfaffianization of the semi-discrete Toda equation

DOI10.1016/j.physleta.2004.06.052zbMath1209.35110OpenAlexW2019417438MaRDI QIDQ2425696

Xing-Biao Hu, Chun-Xia Li

Publication date: 7 May 2008

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2004.06.052

zbMATH Keywords

Lie symmetriesPfaffianizationCasorati solutionsemi-discrete Toda equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Groups and algebras in quantum theory and relations with integrable systems (81R12) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (12)

On the integrable discrete versions of the Leznov lattice: determinant solutions and pfaffianization ⋮ Commutativity of Pfaffianization and Bäcklund transformation: The semi-discrete Toda equation ⋮ Commutativity of Pfaffianization and Bäcklund transformations for a special two-dimensional lattice ⋮ Integrability of the semi-discrete Toda equation with self-consistent sources ⋮ New type of a generalized variable-coefficient Kadomtsev-Petviashvili equation with self-consistent sources and its Grammian-type solutions ⋮ Grammian solutions and pfaffianization of a non-isospectral and variable-coefficient Kadomtsev-Petviashvili equation ⋮ On the pfaffianized-KP equation with self-consistent sources ⋮ The binary nonlinearization of generalized Toda hierarchy by a special choice of parameters ⋮ Pfaffianization of the variable-coefficient KP equation ⋮ Grammian solutions and Pfaffianization of the non-isospectral modified Kadomtsev-Petviashvili equation ⋮ A semi-discrete Kadomtsev-Petviashvili equation and its coupled integrable system ⋮ Bell-polynomial approach and N-soliton solution for the extended Lotka–Volterra equation in plasmas

Cites Work

• Pfaffianization of the Davey-Stewartson equations
• Two integrable differential-difference equations derived from the discrete BKP equation and their related equations
• A bilinear approach to a Pfaffian self-dual Yang-Mills equation
• Pfaffianization of the discrete KP equation
• Hierarchies of Coupled Soliton Equations. I
• Theory of a Solid State Plasma Waveguide in a Transverse Magnetic Field

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