Solitons of the (2+2)-dimensional Toda lattice

DOI10.1088/1751-8121/aaea08zbMath1422.37048arXiv1812.03695OpenAlexW3101419845MaRDI QIDQ5235224

Vadim E. Vekslerchik

Publication date: 7 October 2019

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.03695

zbMATH Keywords

determinantsN-soliton solutions\((2+2)\)-dimensional Toda latticediscrete BKP equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Discrete version of topics in analysis (39A12) Soliton solutions (35C08)

Related Items (3)

Applications of the Sylvester equation for the lattice BKP system ⋮ Solitons of some nonlinear sigma-like models ⋮ Symmetric discrete AKP and BKP equations

Cites Work

• Multidimensional Toda lattices: continuous and discrete time
• Bidifferential calculus approach to AKNS hierarchies and their solutions
• An integrable \((2+1)\)-dimensional Toda equation with two discrete variables
• Toda lattice hierarchy. I
• Toda lattice hierarchy. II
• Linear integral equations and nonlinear difference-difference equations
• Multidimensional Toda-type systems
• On a discrete analogue of the two-dimensional Toda lattice hierarchy
• On KP generators and the geometry of the HBDE
• Solitons and almost-intertwining matrices
• Discrete Systems and Integrability
• Explicit Solutions for a (2+1)-Dimensional Toda Lattice with Two Discrete Variables
• Solutions to ABS Lattice Equations via Generalized Cauchy Matrix Approach
• Soliton fay identities: II. Bright soliton case
• Soliton solutions for ABS lattice equations: I. Cauchy matrix approach
• Nonlinear differential−difference equations
• Pfaffian Representation of Solutions to the Discrete BKP Hierarchy in Bilinear Form
• Direct linearizing transform for three-dimensional discrete integrable systems: the lattice AKP, BKP and CKP equations
• The 2D Toda lattice and the Ablowitz-Ladik hierarchy
• Solutions of matrix NLS systems and their discretizations: a unified treatment
• The Sylvester equation and integrable equations: I. The Korteweg-de Vries system and sine-Gordon equation

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