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Nonlinearity plays a major role in the understanding of most physical, chemical, biological, and engineering sciences. This volume presents a myriad of approaches to finding exact solutions of a variety of nonlinear problems. The author's approach is entirely constructive. The presentation includes numerical solutions that motivate or confirm the methods developed and contains no abstract analysis, leading to a work that is readily accessible ...

Understanding the causes and effects of explosions is important to experts in a broad range of disciplines, including the military, industrial and environmental research, aeronautic engineering, and applied mathematics. Offering an introductory review of historic research, this book brings analytical and computational methods.

A large number of physical phenomena are modeled by nonlinear partial differential equations, subject to appropriate initial/ boundary conditions, these equations, in general, do not admit exact solution. The present monograph gives constructive mathematical techniques which bring out large time behavior of solutions of these model equations. These approaches, in conjunction with modern computational methods, help solve physical problems in a ...