On the Lagrangian multiform structure of the extended lattice Boussinesq system
DOI10.46298/OCNMP.12759MaRDI QIDQ6607432
Publication date: 18 September 2024
Published in: Open Communications in Nonlinear Mathematical Physics (Search for Journal in Brave)
integrable systemsBoussinesq systempartial difference equationsLagrangian multiform structurelattice Gel'fand-Dikii hierarchy
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) Lattice dynamics; integrable lattice equations (37K60) Partial difference equations (39A14) Integrable difference and lattice equations; integrability tests (39A36) Variational principles and methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K58)
Cites Work
- An integrable multicomponent quad-equation and its Lagrangian formulation
- Soliton taxonomy for a modification of the lattice Boussinesq equation
- Difference forms
- A variational principle for discrete integrable systems
- Classification of integrable equations on quad-graphs. The consistency approach
- Variational symmetries and Lagrangian multiforms
- Lagrangian 3-form structure for the Darboux system and the KP hierarchy
- Elliptic solutions of Boussinesq type lattice equations and the elliptic \(N\)th root of unity
- Discrete systems and integrability
- Boussinesq-like multi-component lattice equations and multi-dimensional consistency
- Lagrangian multiforms and multidimensional consistency
- The lattice Gel'fand-Dikii hierarchy
- Direct Linearization of Extended Lattice BSQ Systems
- Lagrangian multiform structure for the lattice Gel'fand–Dikii hierarchy
- Lagrangian Multiforms for Kadomtsev–Petviashvili (KP) and the Gelfand–Dickey Hierarchy
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