18 citations · 39 across the 4 of their papers we have counts for
5 papers
Shock Structure for Hyperbolic Balance Laws with Evolutionary Constraints
Natale Manganaro, Tommaso Ruggeri
We study travelling shock profiles for dissipative quasilinear hyperbolic balance laws endowed with a convex entropy principle and subject to involutive differential constraints. F…
A reduction procedure for determining exact solutions of second order hyperbolic equations
Natale Manganaro, Alessandra Rizzo
In this paper we develop a systematic reduction procedure for determining intermediate integrals of second order hyperbolic equations so that exact solutions of the second order PD…
Solutions to the wave equation for commuting flows of dispersionless PDEs
Natale Manganaro, Alessandra Rizzo, Pierandrea Vergallo
Motivated by the viewpoint of integrable systems, we study commuting flows of 2-component quasilinear equations, reducing to investigate the solutions of the wave equation with non…
Nonlinear wave interaction problems in three dimensional case
C. Curró, N. Manganaro, M. V. Pavlov
Three dimensional nonlinear wave interactions have been analytically described. The procedure under interest can be applied to three dimensional quasilinear systems of first order,…
The Constant Astigmatism Equation. New Exact Solution
Natale Manganaro, Maxim V. Pavlov
In this paper we present a new solution for the Constant Astigmatism equation. This solution is parameterized by an arbitrary function of a single variable.