Pfaffianization of the three-dimensional three-wave equation

DOI10.1088/0305-4470/38/5/012zbMath1062.35123OpenAlexW2023072234MaRDI QIDQ4654955

Hon-Wah Tam, Xing-Biao Hu, Hasi Gegen, Jun-Xiao Zhao

Publication date: 10 March 2005

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

Full work available at URL: https://doi.org/10.1088/0305-4470/38/5/012

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) Pfaffian systems (58A17) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (6)

On the three-dimensional three-wave equation with self-consistent sources ⋮ Commutativity of Pfaffianization and Bäcklund transformation: The semi-discrete Toda equation ⋮ 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 ⋮ Grammian solutions and Pfaffianization of the non-isospectral modified Kadomtsev-Petviashvili equation ⋮ Pfaffianization of the discrete three-dimensional three wave interaction equation

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