Abstract
The Riemann problem for a two-dimensional 2 × 2 hyperbolic system of nonlinear conservation laws has been. solved analytically. The solutions reveal a variety of geometric structures; 57 exact solutions and the corresponding criteria have been obtained. A kind of new nonlinear hyperbolic wave which we call delta shock appears in some solutions. The delta shock is a discontinuity surface which is the support of a Dirac δ-function.
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