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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 presentation includes numerical solutions that motivate or confirm the methods developed. Accessible to a broad base of
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 presentation includes numerical solutions that motivate or confirm the methods developed. Accessible to a broad base of
The goals of this text are to prove or disprove the solution of reduced nonlinear ODE's by different analytic methods, and to show that these solutions are intermediate asymptotics of a class of initial/boundary conditions arising from physical considerations.
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.
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