Solitons

This book provides an up-to-date overview of mathematical theories and research results on solitons, presenting related mathematical methods and applications as well as numerical experiments.Different types of soliton equations are covered along with their dynamical behaviors and applications from physics, making the book an essential reference for researchers and graduate students in applied mathematics and physics.Contents Introduction Inverse scattering transform Asymptotic behavior to initial value problems for some integrable evolution nonlinear equations Interaction of solitons and its asymptotic properties Hirota method B�cklund transformations and the infinitely many conservation laws Multi-dimensional solitons and their stability Numerical computation methods for some nonlinear evolution equations The geometric theory of solitons Global existence and blow up for the nonlinear evolution equations The soliton movements of elementary particles in nonlinear quantum field The theory of soliton movement of superconductive features The soliton movements in condensed state systemsontents Additional ISBNs3110549247, 3110549638, 9783110549249, 9783110549638Read More Solitons 1st Edition is written by Boling Guo; Xiao-Feng Pang; Yu-Feng Wang; Nan Liu and published by De Gruyter. ISBNs for Solitons are 9783110549416, 3110549417 and the print ISBNs are 9783110549249, 3110549247. Additional ISBNs include 3110549247, 3110549638, 9783110549249, 9783110549638.