On \(k\)-wave solutions of quasilinear systems of partial differential equations

First-order nonlinear hyperbolic equations (35L60) Symmetries, invariants, etc. in context of PDEs (35B06) Systems of nonlinear first-order PDEs (35F50)

Cites Work

Compressible fluid flow and systems of conservation laws in several space variables
Symmetry and explicit solutions of partial differential equations
Theorie der Transformationsgruppen I.
On the integrability of \((2+1)\)-dimensional quasilinear systems
Nonclassical symmetry reduction and Riemann wave solutions
Multiple Riemann wave solutions of the general form of quasilinear hyperbolic systems
Non-local Hamiltonian operators of hydrodynamic type related to metrics of constant curvature
Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory
Simple waves in quasilinear hyperbolic systems. I. Theory of simple waves and simple states. Examples of applications
Conditional symmetries and Riemann invariants for hyperbolic systems of PDEs
Reduction of the characteristic initial value problem to the Cauchy problem and its applications to the Einstein equations
Almost global existence to nonlinear wave equations in three space dimensions
Group-Invariant Solutions of Differential Equations
Simple waves and invariant solutions of quasilinear systems
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