The Bogoyavlenskii-Schiff hierarchy and integrable equations in \((2+1)\) dimensions
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Publication:1573859
DOI10.1016/S0034-4877(99)80166-9zbMath0970.37057MaRDI QIDQ1573859
Takeshi Fukuyama, Song-Ju Yu, Kouichi Toda
Publication date: 9 August 2000
Published in: Reports on Mathematical Physics (Search for Journal in Brave)
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)
Related Items (11)
A numerical study on the \(N\)-periodic wave solutions of two coupled bilinear equations ⋮ New types of localized coherent structures in the Bogoyavlenskii-Schiff equation ⋮ Symmetry structure of integrable hyperbolic third order equations ⋮ Some discussions on variable separation solutions and the corresponding localized structures of nonlinear models ⋮ New lump solutions to a \((3+1)\)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation ⋮ Solitary wave solutions of mKdV–Calogero–Bogoyavlenskii–Schiff equation by using Lie symmetry analysis ⋮ A study on two extensions of the Bogoyavlenskii-Schieff equation ⋮ Searching for traveling wave solutions of nonlinear evolution equations in mathematical physics ⋮ Rogue wave for the (3+1)-dimensional Yu-Toda-Sasa-Fukuyama equation ⋮ Breather wave solutions and interaction solutions for two mixed Calogero-Bogoyavlenskii-Schiff and Bogoyavlensky-Bonopelchenko equations ⋮ Lie symmetry analysis and exact solutions of \((3+1)\) dimensional Yu-Toda-Sasa-Fukuyama equation in mathematical physics
Cites Work
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- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Multilinear operators: the natural extension of Hirota's bilinear formalism
- The Painlevé property for partial differential equations
- Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation
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