Geodesic
Involutivity and Symple Waves in R^2
Serdica Mathematical Journal, Tome 23 (1997) no. 3-4, pp. 225-232.

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A strictly hyperbolic quasi-linear 2×2 system in two independent variables with C2 coefficients is considered. The existence of a simple wave solution in the sense that the solution is a 2-dimensional vector-valued function of the so called Riemann invariant is discussed. It is shown, through a purely geometrical approach, that there always exists simple wave solution for the general system when the coefficients are arbitrary C^2 functions depending on both, dependent and independent variables.
Keywords: Simple Wave, Simple State, Involutivity, Riemann Inveriant 
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     author = {Kolev, Dimitar},
     title = {Involutivity and {Symple} {Waves} in {R^2}},
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Kolev, Dimitar. Involutivity and Symple Waves in R^2. Serdica Mathematical Journal, Tome 23 (1997) no. 3-4, pp. 225-232. http://geodesic.mathdoc.fr/item/SMJ2_1997_23_3-4_a3/