SYMMETRIES AND LIE ALGEBRA OF THE DIFFERENTIAL–DIFFERENCE KADOMSTEV–PETVIASHVILI HIERARCHY

DOI10.1142/S0217984910023098zbMath1188.37064arXiv0908.0382OpenAlexW2037508123WikidataQ115246000 ScholiaQ115246000MaRDI QIDQ3568516

Xian-Long Sun, Da-jun Zhang, Deng-Yuan Chen, Xiao Ying Zhu

Publication date: 15 June 2010

Published in: Modern Physics Letters B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.0382

zbMATH Keywords

Lie algebrasymmetriesdifferential-difference Kadomstev-Petviashvili equationnon-isospectral flows

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) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items

Ghost symmetry of the discrete KP hierarchy, The discrete KP hierarchy and the negative power series on the complex plane, Constrained discrete KP hierarchy: the constraint on the tau functions and gauge transformations, Miura and auto-Bäcklund transformations for the discrete KP and mKP hierarchies and their constrained cases, Gauge transformations of constrained discrete modified KP systems with self-consistent sources, Non-isospectral flows of noncommutative differential-difference KP equation, The Virasoro action on the tau function for the constrained discrete KP hierarchy

Cites Work

• Recursion operators and bi-Hamiltonian structures in multidimensions. II
• Gauge equivalence and \(l\)-reductions of the differential-difference KP equation
• Recursion operators and bi-Hamiltonian structures in multidimensions. I
• Lie algebraic structures of some (1+2)-dimensional Lax integrable systems.
• Singularity structure and algebraic properties of the differential-difference Kadomtsev-Petviashvili equation.
• Lax pairs, symmetries and conservation laws of a differential-difference equation -- Sato's approach
• Master Symmetries from Lax Operators for Certain Lattice Soliton Hierarchies
• Mastersymmetries, Higher Order Time-Dependent Symmetries and Conserved Densities of Nonlinear Evolution Equations
• K symmetries and tau symmetries of evolution equations and their Lie algebras
• CASORATIAN SOLUTIONS AND NEW SYMMETRIES OF THE DIFFERENTIAL-DIFFERENCE KADOMTSEV–PETVIASHVILI EQUATION
• Symmetries and Integrability
• Lax representations and Lax operator algebras of isospectral and nonisospectral hierarchies of evolution equations
• Wronskian and rational solutions of the differential-difference KP equation
• Algebraic structure of discrete zero curvature equations and master symmetries of discrete evolution equations
• Lie algebraic structures of (1+1)-dimensional Lax integrable systems