Application of Hirota's bilinear formalism to a two-dimensional lattice by Leznov
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Publication:2644090
DOI10.1016/S0375-9601(00)00650-2zbMath1119.37332OpenAlexW2066678250WikidataQ127371006 ScholiaQ127371006MaRDI QIDQ2644090
Publication date: 7 September 2007
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0375-9601(00)00650-2
Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Lattice dynamics; integrable lattice equations (37K60)
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Cites Work
- Bilinear transformation method
- A novel class of solutions of the non-stationary Schrödinger and the Kadomtsev-Petviashvili I equations
- Graded Lie algebras, representation theory, integrable mappings and integrable systems
- On the discrete spectrum of the nonstationary Schrödinger equation and multipole lumps of the Kadomtsev-Petviashvili I equation
- A search for bilinear equations passing Hirota’s three-soliton condition. I. KdV-type bilinear equations
- Two-dimensional lumps in nonlinear dispersive systems
- Nonlinear superposition formulae for the differential-difference analogue of the KdV equation and two-dimensional Toda equation
- R-matrix approach to lattice integrable systems
- On a Volterra system
- Some new exact solutions of the Novikov - Veselov equation
- Solutions to the Time Dependent Schrödinger and the Kadomtsev-Petviashvili Equations
- Some new results on the Blaszak–Marciniak lattice: Bäcklund transformation and nonlinear superposition formula
- Theory of a Solid State Plasma Waveguide in a Transverse Magnetic Field
- The Crum transformation for a third-order scattering problem
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