Abstract
We consider quasilinear hyperbolic systems with coefficients depending explicitly on space and time variables. Assuming that these systems are left invariant by two Lie groups of transformations having commuting infinitesimal operators, it is shown how to reduce them to autonomous form. A physical example admitting two groups of transformations is considered; the application of the procedure allows us to characterize an exact particular solution. Finally, some considerations about the linearization of the model are pointed out.
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© 1993 Springer Science+Business Media Dordrecht
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Donato, A., Oliveri, F. (1993). Quasilinear Hyperbolic Systems: Reduction to Autonomous Form and Wave Propagation. In: Ibragimov, N.H., Torrisi, M., Valenti, A. (eds) Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2050-0_17
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DOI: https://doi.org/10.1007/978-94-011-2050-0_17
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