GUO / YAO / ZHAO Soliton

1. Auflage 2025
ISBN: 978-2-7598-3910-0
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch

This book provides a clear and systematic introduction to solitons, spanning foundational theory, analytical techniques and physical applications. It begins with classical models such as the KdV and nonlinear Schrödinger equations, then develops key elements including the inverse scattering transform, Hirota method, Bäcklund transformations, infinite conservation laws, and multidimensional soliton theory. The work explores asymptotic behavior, stability, numerical approaches, and topological structures, while also addressing the geometry of solitons, global-solution problems, and blow-up phenomena. A dedicated chapter examines rogue waves and wave turbulence, and recent advances are highlighted through applications in condensed-matter physics. Balancing rigorous analysis with physical insight, this book serves both as a valuable reference for researchers and graduate students and as a lucid introduction for newcomers to the field.

Autoren/Hrsg.

GUO, Boling

YAO, Yuqin

ZHAO, Lichen

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Über Autor(innen)

Contributor: Boling GUO Guo Boling, an academician of Chinese Academy of Sciences, a renowned expert in applied mathematics and computational mathematics, research fellow of Institute of Applied Physics and Computational Mathematics, has made great achievements in qualitative and numerical study on the solutions, soliton solutions of nonlinear evolution equations, as well as infinite-dimensional dynamical systems. In addition to over 700 essays published on important journals home and abroad, he is the author of over ten books and 15 volumes of essays. He is the winner of the first prize and the third prize of National Natural Science Award, Guanghua Engineering Science and Technology Award, the Ho Leung Ho Lee (HLHL) Foundation Award, etc.