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This work examines the mathematical aspects of nonlinear wave propagation, emphasizing nonlinear hyperbolic problems. It introduces the tools that are most effective for exploring the problems of local and global existence, singularity formation, and large-time behaviour of solutions, and for the study of perturbation methods.
Mathematical Aspects of Nonlinear Dispersive Equations
Nonlinear Wave Equations
Nonlinear Hyperbolic Waves in Multidimensions
Nonlinear Water Waves
Quasilinear Hyperbolic Systems, Compressible Flows, and Waves
Linear And Nonlinear Wave Propagation
Ray Methods for Nonlinear Waves in Fluids and Plasmas
Nonlinear Waves in Elastic Media
Nonlinear Vibrations and the Wave Equation
Effective Computational Methods for Wave Propagation
Nonlinear Evolution Equations
nonlinear analysis and applications