D. Fusco et N. Manganaro, GENERATION OF EXACT-SOLUTIONS TO A CLASS OF QUASI-LINEAR HYPERBOLIC MODELS VIA REDUCTION TECHNIQUES, Mathematical and computer modelling, 18(10), 1993, pp. 101-106
We consider a quasilinear nonhomogeneous hyperbolic system of partial
differential equations of first order involving two dependent and two
independent variables. We carry out a reduction approach for determini
ng exact solutions to the model under interest by requiring it to be c
onsistent with a pair of additional equations which define Riemann-lik
e invariants along the characteristic curves.