Advanced Mathematics and Physics Methods

Author: Yang Bojun
Publisher:
Publish Date: 2003-10-01
Features: "Advanced Mathematical and Physical Methods" This book is designed for senior science majors and engineering graduate students to further study after completing the "Mathematical and Physical Methods" course. It focuses on the nonlinear partial differential equations developed in the past four decades and their solution methods. The content includes linear partial differential equations, the Korteweg-de Vries (KDV) equation and its inverse scattering solution method, the nonlinear Schr?dinger equation and its inverse scattering solution method, Backlund transformations and nonlinear superposition formulas, perturbation methods and variational methods for solving nonlinear equations, as well as numerical computation methods for nonlinear partial differential methods. The selection of content is highly targeted, making it suitable for students in communication, electronic, and information-related fields, as well as for reference by other professionals.