Double-wave solutions to quasilinear hyperbolic systems of first-order PDEs
| Autor: | N. Manganaro, Carmela Currò |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Partial differential equation
Hyperbolic systems Double-wave solutions Differential constraints Applied Mathematics General Mathematics 010102 general mathematics Mathematical analysis Hyperbolic function General Physics and Astronomy Order (ring theory) 01 natural sciences 010305 fluids & plasmas Inverse hyperbolic function Method of characteristics Hyperbolic set 0103 physical sciences 0101 mathematics Hyperbolic partial differential equation Differential (mathematics) Mathematics |
| Popis: | 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 $$2 \times 2$$ reduced hyperbolic model along with a further differential constraint. Therefore, the method of differential constraints is used in order to solve the auxiliary $$2 \times 2$$ system. An example of interest to viscoelasticity is presented. |
| Databáze: | OpenAIRE |
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