Algebro-geometric constructions of the \((2+1)\)-dimensional differential-difference equation

DOI10.1016/j.physleta.2007.04.041zbMath1209.37085OpenAlexW1991212722WikidataQ115341633 ScholiaQ115341633MaRDI QIDQ715905

Junyi Zhu, Xiangguo Geng

Publication date: 19 April 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2007.04.041

zbMATH Keywords

differential-difference equationsalgebro-geometric constructions

Mathematics Subject Classification ID

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) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Lattice dynamics; integrable lattice equations (37K60)

Related Items (5)

Two kinds of discrete integrable hierarchies of evolution equations and some algebraic-geometric solutions ⋮ Lie point symmetry, conservation laws and exact power series solutions to the Fujimoto-Watanabe equation ⋮ A Numerical Study of the 3-Periodic Wave Solutions to Toda-Type Equations ⋮ Solutions of a discrete integrable hierarchy by straightening out of its continuous and discrete constrained flows ⋮ Algebro-geometric solutions for a discrete integrable equation

Cites Work

• Unnamed Item
• Theory of nonlinear lattices
• Decomposition of the (2 + 1)- dimensional Gardner equation and its quasi-periodic solutions
• Algebro-geometric solution of the 2+1 dimensional Burgers equation with a discrete variable
• Algebro–geometric constructions of the discrete Ablowitz–Ladik flows and applications
• From the special 2 + 1 Toda lattice to the Kadomtsev-Petviashvili equation
• Quasi-periodic solutions of the modified Kadomtsev-Petviashvili equation

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