This historical account traces the discovery of a singular wave in 1834 to the development of modern soliton theory. It describes deep connections between soliton theory and nonlinear continuum mechanics, with wide applications for research scientists and advanced students.
Explore nonlinear physics using the asymptotic perturbation method. This textbook systematically develops the theory, from nonlinear oscillators to fractal and chaotic solutions in NPDEs. With an emphasis on applications and examples, it is ideal for a senior or graduate course.
This book applies random process theory to physical and biological research. Using risk and storage processes—little used in physics—it explores the first-passage time, introduces a new statistical distribution, and considers the unstudied effects of entropy changes.