Symmetries and conservation laws of lattice Boussinesq equations
arXiv:1201.0028 · doi:10.1016/j.physleta.2012.06.004
Abstract
Sequences of canonical conservation laws and generalized symmetries for the lattice Boussinesq and the lattice modified Boussinesq systems are successively derived. The interpretation of these symmetries as differential-difference equations leads to corresponding hierarchies of such equations for which conservation laws and Lax pairs are constructed. Finally, using the continuous symmetry reduction approach, an integrable, multidimensionally consistent system of partial differential equations is derived in relation with the lattice modified Boussinesq system.
15 pages
References in corpus (6)
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Cited by in corpus (11)
- Symbolic Computation of Lax Pairs of Partial Difference Equations Using Consistency Around the Cube
- Bäcklund Transformations for the Boussinesq Equation and Merging Solitons
- An integrable multicomponent quad equation and its Lagrangian formulation
- Symmetries, conservation laws and Noether's theorem for differential-difference equations
- Deriving conservation laws for ABS lattice equations from Lax pairs
- Conservation laws of some lattice equations
- Asymptotic diagonalization of the Discrete Lax pair around singularities and conservation laws for dynamical systems
- graded discrete Lax pairs and discrete integrable systems
- Algebraic entropy for systems of quad equations
- Spectrum transformation and conservation laws of the lattice potential KdV equation
- Binary Darboux transformations for discrete modified Boussinesq equation