Equivalent Hirota bilinearisations
DOI10.1016/S0375-9601(98)00087-5zbMath0940.17015OpenAlexW2105764182MaRDI QIDQ1966671
Publication date: 8 March 2000
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0375-9601(98)00087-5
soliton solutionsintegrable equationHirota equationbilinearizationgroup-theoretic derivationHirota transformations
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)
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Cites Work
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- Solitons and infinite dimensional Lie algebras
- Transformation groups for soliton equations. Euclidean Lie algebras and reduction of the KP hierarchy
- The structure of standard modules. I: Universal algebras and the Rogers- Ramanujan identities
- The structure of standard modules. II: The case \(A_ 1^{(1)}\), principal gradation
- Fundamental representations of the m-principal realization of g l∞
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