A family of second Lie algebra structures for symmetries of dispersionless Boussinesq system
Arthemy V. Kiselev, Johan W. van de Leur
TL;DR
This paper introduces two compatible finite deformations of the Lie algebra structure within the symmetry algebra of a 3-component dispersionless Boussinesq system, expanding understanding of its algebraic symmetries.
Contribution
It presents the first explicit construction of compatible finite deformations of the symmetry Lie algebra for this system, revealing new algebraic structures.
Findings
Two compatible finite deformations constructed
Enhanced understanding of symmetry algebra structure
Potential applications in integrability and symmetry analysis
Abstract
For the 3-component dispersionless Boussinesq-type system, we construct two compatible nontrivial finite deformations for the Lie algebra structure in the symmetry algebra.
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