LIE SYMMETRIES OF TWO (2+1)-DIMENSIONAL TODA-LIKE LATTICES BY THE EXTENDED DIFFERENTIAL FORM METHOD

DOI10.1142/S0219887812200149zbMath1323.37042OpenAlexW2029473058WikidataQ115245426 ScholiaQ115245426MaRDI QIDQ4917282

Na Lv, Hong-Qing Zhang, Jian-qin Mei

Publication date: 29 April 2013

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887812200149

zbMATH Keywords

Lie symmetrydifferential-difference equationdifferential form methodKac-Moody-Virasoro algebra

Mathematics Subject Classification ID

Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Lattice dynamics; integrable lattice equations (37K60)

Related Items (1)

On differential form method to find Lie symmetries of two types of Toda lattices

Cites Work

• On geometric approach to Lie symmetries of differential-difference equations
• Difference discrete connection and curvature on cubic lattice
• Differential form method for finding symmetries of a \((2+1)\)-dimensional Camassa-Holm system based on its Lax pair
• Lie symmetry reductions and exact solutions of some differential–difference equations
• Point symmetries of generalized Toda field theories: II. Symmetry reduction
• From the special 2 + 1 Toda lattice to the Kadomtsev-Petviashvili equation
• LIE SYMMETRIES OF TWO (2+1)-DIMENSIONAL DIFFERENTIAL-DIFFERENCE EQUATIONS BY GEOMETRIC APPROACH
• Geometric Approach to Invariance Groups and Solution of Partial Differential Systems
• Generalized conditional symmetries of nonlinear differential-difference equations
• Unnamed Item

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