Algebro-geometric solutions for some \((2+1)\)-dimensional discrete systems
DOI10.1016/j.nonrwa.2007.05.012zbMath1156.37320OpenAlexW2050274352MaRDI QIDQ1007717
Publication date: 24 March 2009
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2007.05.012
elliptic coordinatesalgebro-geometric solutions\((2+1)\)-dimensional discrete systemsRiemann-Jacobi inversion techniquestraightening out
Soliton equations (35Q51) Discrete version of topics in analysis (39A12) Relationships between algebraic curves and integrable systems (14H70) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Lattice dynamics; integrable lattice equations (37K60)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bilinear transformation method
- Theory of nonlinear lattices.
- Inverse problem for periodic finite-zoned potentials in the theory of scattering
- Hill's operator with finitely many gaps
- Explicit solutions of some (2+1)-dimensional differential-difference equations
- Quasi-periodic solutions for some \(2+1\)-dimensional discrete models
- Quasi-periodic solutions for some (2 + 1)-dimensional integrable models generated by the Jaulent-Miodek hierarchy
- Nonlinear differential−difference equations
- A novel hierarchy of integrable lattices
- Algebro-geometric solution of the 2+1 dimensional Burgers equation with a discrete variable
- A trace identity and its applications to the theory of discrete integrable systems
- Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura