The Darboux transformation associated with two-parameter lattice soliton equation
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Publication:717405
DOI10.1016/J.CNSNS.2008.11.012zbMath1221.37150OpenAlexW1996841050MaRDI QIDQ717405
Publication date: 2 October 2011
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2008.11.012
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
- Darboux transformation of a coupled lattice soliton equation
- Two hierarchies of integrable lattice equations associated with a discrete matrix spectral problem
- Application of Hirota's bilinear formalism to a two-dimensional lattice by Leznov
- The Coupled Modified Korteweg-de Vries Equations
- Master Symmetries from Lax Operators for Certain Lattice Soliton Hierarchies
- A Functional Integral Representation of the Soliton Solution
- A modified Toda spectral problem and its hierarchy of bi-Hamiltonian lattice equations
- Algebraic structure of discrete zero curvature equations and master symmetries of discrete evolution equations
- A new integrable symplectic map associated with lattice soliton equations
- Integrable relativistic Toda type lattice hierarchies, associated coupling systems and the Darboux transformation
- A discrete variational identity on semi-direct sums of Lie algebras
- Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras
- A trace identity and its applications to the theory of discrete integrable systems
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