A generalized Leznov lattice: Bilinear form, Bäcklund transformation, and Lax pair
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Publication:1433229
DOI10.1016/S0893-9659(04)90008-0zbMath1039.37066MaRDI QIDQ1433229
Publication date: 15 June 2004
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Soliton equations (35Q51) Geometric theory, characteristics, transformations in context of PDEs (35A30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Lattice dynamics; integrable lattice equations (37K60)
Cites Work
- Bilinear transformation method
- Soliton solution of three differential-difference equations in Wronskian form
- Graded Lie algebras, representation theory, integrable mappings and integrable systems
- Application of Hirota's bilinear formalism to a two-dimensional lattice by Leznov
- A search for bilinear equations passing Hirota’s three-soliton condition. I. KdV-type bilinear equations
- New integrable differential-difference systems
- Theory of a Solid State Plasma Waveguide in a Transverse Magnetic Field
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