Nonlinear wave interactions for quasilinear hyperbolic 2×2 systems
DOI:
https://doi.org/10.1478/AAPP.91S1A6Abstract
A reduction approach based upon the combined use of differential constraints theory and hodograph method is developed in order to determine closed form solutions for 2×2 hyperbolic quasilinear nonhomogeneous models. The problem of integrating the standard linear hodograph system associated with 2×2 homogeneous models is also considered. Along the lines of the proposed reduction approach different examples of 2×2 governing models are analyzed in order to highlight the flexibility of the provided solutions to describe hyperbolic wave processes.
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Published
2013-01-29
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Section
Special issue in memory of Prof. Giovanni Crupi
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