Natale Manganaro, Alessandra Rizzo, Pierandrea Vergallo
Published 2022-12-20Version 1
In this article, we apply the reduction procedure of differential constraints to obtain some solutions of the wave equation with non-constant speed depending on the field variables. We discuss the results obtained in the perspective of commuting flows in integrable systems, according to Dubrovin's theory of deformations of PDEs. Finally, we present some examples of Hamiltonian integrable systems and find some implicit solutions via Tsarev's generalized hodograph method.
On a Two-Temperature Problem for Wave Equation
Some geometric structures of wave equations on manifolds of `neutral signatures'
Estimates for the characteristic problem of the first-order reduction of the wave equation
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