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. ManganaroUltimo
Investigation
2017-01-01
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.File in questo prodotto:
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