The Zakharov System and its Soliton Solutions

Authors: Boling Guo, Zaihui Gan, Linghai Kong, Jingjun Zhang



The first book on the theory of the Zakharov system

Elaborates various type of generalized Zakharov system equations

Explores the physical background of the Zakharov system

This book focuses on the theory of the Zakharov system in the context of plasma physics. It has been over 40 years since the system was first derived by V. E. Zakharov – and in the course of those decades, many innovative achievements with major impacts on other research fields have been made.

The book represents a first attempt to highlight the mathematical theories that are most important to researchers, including the existence and unique problems, blow-up, low regularity, large time behavior and the singular limit. Rather than attempting to examine every aspect of the Zakharov system in detail, it provides an effective road map to help readers access the frontier of studies on this system.  

Table of contents

Front Matter
Pages i-ix

Physical Background of Zakharov Equations and Its Soliton Solutions
Pages 1-20


On the Existence, Blowup and Large Time Behavior of the Zakharov System
Pages 21-127

Studies on Generalized Zakharov System
Pages 129-215

Low Regularity Theories of Zakharov System
Pages 217-291

Singular Limit of Klein–Gordon–Zakharov System with Infinite Propagation Speed
Pages 293-334

Back Matter
Pages 335-342