A reduction procedure for determining double-wave exact solutions to first-order hyperbolic systems of PDEs is proposed. The basic idea is to reduce the integration of the governing hyperbolic set of N partial differential equations to that of a 2×2 reduced hyperbolic model along with a further differential constraint. Therefore, the method of differential constraints is used in order to solve the auxiliary 2×2 system. An example of interest to viscoelasticity is presented.

Double-wave solutions to quasilinear hyperbolic systems of first-order PDEs

C. Curró
Primo
Investigation
;
N. Manganaro
Ultimo
Investigation
2017

Abstract

A reduction procedure for determining double-wave exact solutions to first-order hyperbolic systems of PDEs is proposed. The basic idea is to reduce the integration of the governing hyperbolic set of N partial differential equations to that of a 2×2 reduced hyperbolic model along with a further differential constraint. Therefore, the method of differential constraints is used in order to solve the auxiliary 2×2 system. An example of interest to viscoelasticity is presented.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11570/3117810
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