Boussinesq-like multi-component lattice equations and multi-dimensional consistency
From MaRDI portal
Publication:2998057
DOI10.1088/1751-8113/44/16/165204zbMath1219.37047arXiv1011.1978OpenAlexW2071922466MaRDI QIDQ2998057
Publication date: 18 May 2011
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1011.1978
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Discrete version of topics in analysis (39A12) Ordinary lattice differential equations (34A33)
Related Items (23)
Solutions and three-dimensional consistency for nonautonomous extended lattice Boussinesq-type equations ⋮ Non-Abelian hierarchies of compatible maps, associated integrable difference systems and Yang-Baxter maps ⋮ Symmetries and conservation laws of lattice Boussinesq equations ⋮ Symbolic computation of Lax pairs of partial difference equations using consistency around the cube ⋮ Conservation laws of some lattice equations ⋮ An integrable multicomponent quad-equation and its Lagrangian formulation ⋮ On a special coupled lattice system of the discrete Boussinesq type ⋮ Rational solutions to the ABS list: transformation approach ⋮ Spectrum transformation and conservation laws of lattice potential KdV equation ⋮ Bäcklund transformations for the Boussinesq equation and merging solitons ⋮ On the fourth-order lattice Gel'fand-Dikii equations ⋮ Elliptic solutions of Boussinesq type lattice equations and the elliptic \(N\)th root of unity ⋮ Discrete modified Boussinesq equation and Darboux transformation ⋮ Lax matrices for lattice equations which satisfy consistency-around-a-face-centered-cube ⋮ Direct Linearization of Extended Lattice BSQ Systems ⋮ Direct linearization approach to discrete integrable systems associated with ℤ 𝒩 graded Lax pairs ⋮ A discrete negative AKNS equation: generalized Cauchy matrix approach ⋮ Discrete potential Ablowitz–Kaup–Newell–Segur equation ⋮ An update of a Bäcklund transformation and its applications to the Boussinesq system ⋮ Integrability and solutions for a fourth-order lattice Gel'fand-Dikii equation ⋮ Multi-component extension of CAC systems ⋮ $\mathbb{Z}_\mathcal{N}$ graded discrete integrable systems and Darboux transformations ⋮ ${{\mathbb{Z}}_{N}}$ graded discrete Lax pairs and integrable difference equations
This page was built for publication: Boussinesq-like multi-component lattice equations and multi-dimensional consistency
