Differential equations, Nonlinear Equations of mathematical physics and other areas of application Euler equations Hyperbolic equations and systems Initial value problems for second-order hyperbolic equations Mathematics Numerical solutions Partial differential equations Quasilinear second-order hyperbolic equations Quasilinearization Second-order hyperbolic equations Shock waves Shocks and singularities Wave equation Partial differential equations -- Equations of mathematical physics and other areas of application -- Euler equations Partial differential equations -- Hyperbolic equations and systems -- Initial value problems for second-order hyperbolic equations Partial differential equations -- Hyperbolic equations and systems -- Quasilinear second-order hyperbolic equations Partial differential equations -- Hyperbolic equations and systems -- Second-order hyperbolic equations Partial differential equations -- Hyperbolic equations and systems -- Shocks and singularities Partial differential equations -- Hyperbolic equations and systems -- Wave equation