Presents in a systematic and unified manner the ray method, in its various forms, for studying nonlinear wave propagation in situations of physical interest, essentially fluid dynamics and plasma physics.

Physical framework
introductory concepts for wave motions
Ray methods for linear waves
Ray methods for nonlinear hyperbolic waves
Ray method for the propagation of discontinuities
generalized wavefront expansion for weak shocks
small time analysis and shock stability
Ray methods for nonlinear dispersive waves
Ray methods for nonlinear dissipative waves
interaction of dispersive waves
interaction of hyperbolic waves.

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