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.
". . .a comprehensive pedagogical presentation of the most effective new tools for the study of perturbation methods for a large class of nonlinear evolution problems in mathematical physics. . .. . . .This book is one of the rare titles in this field. On one hand, it can be used as a text for graduate-level students. On the other hand, the content of the book covers a wide class of results on local and global existence, regularity, and singularity formation for nonlinear wave propagation. . .. This book would benefit graduate students as well as to specialists in the field of nonlinear hyperbolic problems in mathematical topics. "
---Zentralblatt fur Mathematik
"The book has a wealth of matter.. . .Every chapter has a section call[ed] Further results which enriches the contents. The study examines traveling waves and interactions exhaustively.. . .Researchers in wave-propagation will find Nonlinear Wave Equations of great value. "
---Applied Mechanics Review
Linear wave propagation; local and global existence; singularity formation; solitons and inverse scattering; perturbation methods; general relativity.