Applications of the Sylvester equation for the lattice BKP system

DOI10.1134/s0040577923030042zbMath1516.37087MaRDI QIDQ6103263

Chen-Chen Wu, Song-Lin Zhao, Ying-ying Sun

Publication date: 2 June 2023

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

zbMATH Keywords

solutionSylvester equationCauchy matrix methodlattice BKP system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Lattice dynamics; integrable lattice equations (37K60)

Cites Work

• Unnamed Item
• Generalized Cauchy matrix approach for lattice KP-type equations
• The B-quadrilateral lattice, its transformations and the algebro-geometric construction
• On Hirota's difference equations
• A lattice CKP equation expressed by the \(\tau\) function
• Discrete analogues for two nonlinear Schrödinger type equations
• The discrete and continuous Painlevé VI hierarchy and the Garnier systems
• Discrete Systems and Integrability
• Solutions to ABS Lattice Equations via Generalized Cauchy Matrix Approach
• The Sylvester equation and the elliptic Korteweg-de Vries system
• Soliton solutions for ABS lattice equations: I. Cauchy matrix approach
• Direct linearizing transform for three-dimensional discrete integrable systems: the lattice AKP, BKP and CKP equations
• Reciprocal Figures, Graphical Statics, and Inversive Geometry of the Schwarzian BKP Hierarchy
• Solitons of the (2+2)-dimensional Toda lattice
• Symmetric discrete AKP and BKP equations

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