Elliptic solutions of Boussinesq type lattice equations and the elliptic \(N\)th root of unity

DOI10.1007/s00220-022-04567-8OpenAlexW4311626511MaRDI QIDQ2699069

Ying-ying Sun, Frank W. Nijhoff, Da-jun Zhang

Publication date: 26 April 2023

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.02948

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12)

Related Items

Two trigonometric function solutions of the mKdV equations, From decoupled integrable models to coupled ones via a deformation algorithm*, On the fourth-order lattice Gel'fand-Dikii equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On elliptic Lax pairs and isomonodromic deformation systems for elliptic lattice equations
• The Riemann boundary problem on a torus and the inverse scattering problem for the Landau-Lifschitz equation
• Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles
• Quantum integrable models and discrete classical Hirota equations
• On some linear integral equations generating solutions of nonlinear partial differential equations
• On the solutions of Halphen's equation
• Classification of integrable equations on quad-graphs. The consistency approach
• Discrete Systems and Integrability
• Boussinesq-like multi-component lattice equations and multi-dimensional consistency
• Elliptic N-soliton Solutions of ABS Lattice Equations
• The direct linearization of a class of nonlinear evolution equations
• HOLOMORPHIC BUNDLES OVER ALGEBRAIC CURVES AND NON-LINEAR EQUATIONS
• Landau-Lifshitz equation: solitons, quasi-periodic solutions and infinite-dimensional Lie algebras
• The lattice Gel'fand-Dikii hierarchy
• Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem
• Direct Linearization of Extended Lattice BSQ Systems
• Direct linearization approach to discrete integrable systems associated with ℤ _𝒩 graded Lax pairs
• On elliptic Lax systems on the lattice and a compound theorem for hyperdeterminants
• Multisoliton solutions to the lattice Boussinesq equation
• Elliptic (N, N′)-soliton solutions of the lattice Kadomtsev-Petviashvili equation
• THE BOUSSINESQ INTEGRABLE SYSTEM: COMPATIBLE LATTICE AND CONTINUUM STRUCTURES
• A constructive approach to the soliton solutions of integrable quadrilateral lattice equations