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Nonlinear wave interactions for quasilinear hyperbolic 2x2 systemsDOI: 10.1478/aapp.91s1a6 Abstract: 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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