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The Zakharov System and its Soliton Solutions

  • Boling Guo
  • Zaihui Gan
  • Linghai Kong
  • Jingjun Zhang

Table of contents

  1. Front Matter
    Pages i-ix
  2. Boling Guo, Zaihui Gan, Linghai Kong, Jingjun Zhang
    Pages 1-20
  3. Boling Guo, Zaihui Gan, Linghai Kong, Jingjun Zhang
    Pages 21-127
  4. Boling Guo, Zaihui Gan, Linghai Kong, Jingjun Zhang
    Pages 129-215
  5. Boling Guo, Zaihui Gan, Linghai Kong, Jingjun Zhang
    Pages 217-291
  6. Boling Guo, Zaihui Gan, Linghai Kong, Jingjun Zhang
    Pages 293-334
  7. Back Matter
    Pages 335-342

About this book

Introduction

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.  

Keywords

Zakharov system plasma blow-up large time behavior Attractors Asymptotic behavior

Authors and affiliations

  • Boling Guo
    • 1
  • Zaihui Gan
    • 2
  • Linghai Kong
    • 3
  • Jingjun Zhang
    • 4
  1. 1.Computational MathematicsInstitute of Applied Physics and Computational MathematicsBeijingChina
  2. 2.Tianjin University TianjinChina
  3. 3.Computational MathematicsInstitute of Applied Physics and Computational MathematicsBeijingChina
  4. 4.Jiaxing University JiaxingChina

Bibliographic information

  • DOI https://doi.org/10.1007/978-981-10-2582-2
  • Copyright Information Springer Science+Business Media Singapore and Science Press 2016
  • Publisher Name Springer, Singapore
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-981-10-2581-5
  • Online ISBN 978-981-10-2582-2
  • Buy this book on publisher's site