# A Geometric Study of the Dispersionless Boussinesq Type Equation

@article{Kersten2006AGS, title={A Geometric Study of the Dispersionless Boussinesq Type Equation}, author={P. H. M. Kersten and Iosif Krasil’shchik and Alexander Verbovetsky}, journal={Acta Applicandae Mathematica}, year={2006}, volume={90}, pages={143-178} }

We discuss the dispersionless Boussinesq type equation, which is equivalent to the Benney–Lax equation, being a system of equations of hydrodynamical type. This equation was discussed in [4]. The results include: A description of local and nonlocal Hamiltonian and symplectic structures, hierarchies of symmetries, hierarchies of conservation laws, recursion operators for symmetries and generating functions of conservation laws (cosymmetries). Highly interesting are the appearances of operators…

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