Analytical Approach in Nonlinear Dispersive Media
暫譯: 非線性色散媒介中的分析方法

Kengne, Emmanuel, Liu, Wu-Ming

Analytical Approach in Nonlinear Dispersive Media
  • 出版商: Springer
  • 出版日期: 2025-09-01
  • 售價: $9,020
  • 貴賓價: 9.5 折 $8,569
  • 語言: 英文
  • 頁數: 746
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 9819687160
  • ISBN-13: 9789819687169
  • 相關分類: 工程數學 Engineering-mathematics

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商品描述

This book presents an analytical approach to treating several topics of current interest in the field of nonlinear partial differential equations and their applications to electrical and communications engineering, the physics of nonlinear dispersive media, as well as the nonlinear wave interactions. It treats analytically Ginzburg-Landau and wave equations such as higher-order nonlinear Schrodinger equations with/without dissipative terms, Gross-Pitaevskii equations with complicated potential terms, and cubic-quintic Ginzburg-Landau equations. For solving analytically various problems of mathematical physics in nonlinear dispersive media, the book explanatorily and carefully applies several powerful methods drawn from recent leading research articles. Special attentions are paid to the modulational instability phenomenon and baseband modulational instability phenomenon in nonlinear dispersive media. The theoretical results of this book are supplemented by numerical calculations and graphical illustrations. This book is intended for scientific researchers working in the field of nonlinear waves; it will be particularly useful for applied mathematicians, theoretical physicists, as well as electrical and communications engineers.

商品描述(中文翻譯)

本書採用分析方法探討當前在非線性偏微分方程及其在電氣和通信工程、非線性色散媒介的物理學以及非線性波互動等領域中的幾個熱門主題。書中分析了Ginzburg-Landau方程和波方程，例如具有/不具有耗散項的高階非線性薛丁格方程、具有複雜勢能項的Gross-Pitaevskii方程，以及三次-五次Ginzburg-Landau方程。為了在非線性色散媒介中分析性地解決各種數學物理問題，本書詳細且謹慎地應用了幾種來自近期領先研究文章的強大方法。特別關注於非線性色散媒介中的調製不穩定現象和基帶調製不穩定現象。本書的理論結果輔以數值計算和圖形說明。此書旨在為從事非線性波研究的科學研究人員提供參考，對應用數學家、理論物理學家以及電氣和通信工程師特別有用。

作者簡介

Emmanuel Kengne obtained his Ph.D. degree in Physico-mathematical Sciences from the School of Mathematics and Mechanical Engineering at Kharkov State University (now Kharkov National University), Ukraine, in January 1994. He is an applied mathematician, full professor at the School of Physics and Electronic Information Engineering, Zhejiang Normal University (China), adjunct professor at the Department of Computer Science and Engineering, University of Quebec at Outaouais (Canada), and adjunct researcher at the Institute of Physics, Chinese Academy of Sciences (China). Emmanuel Kengne has made major contributions to a vast number of fields, including the theory of well-posedness boundary value problems for partial differential equations, wave propagation on nonlinear transmission networks, optical and heat solitons, nonlinear dynamical lattices, Ginzburg-Landau models, Boson-Fermion models, bio-thermal physics, light propagation, thermal therapy for tumors, as well as many other physico-mathematical fields.
Wu-Ming Liu obtained his Ph.D. degree from the Institute of Metal Research, Chinese Academy of Sciences, Shenyang, China, in June 1994. He became an associate professor at the Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, China, in 1996, and is a full professor at the Institute of Physics at the same Academy since 2002.

作者簡介(中文翻譯)

艾曼紐·肯格（Emmanuel Kengne）於1994年1月在烏克蘭哈爾科夫國立大學（現為哈爾科夫國立大學）的數學與機械工程學院獲得物理數學科學博士學位。他是一位應用數學家，現任中國浙江師範大學物理與電子信息工程學院的全職教授，並擔任加拿大烏塔瓦大學計算機科學與工程系的兼任教授，以及中國科學院物理研究所的兼任研究員。艾曼紐·肯格在眾多領域做出了重大貢獻，包括偏微分方程的良定邊值問題理論、非線性傳輸網絡上的波傳播、光學與熱孤子、非線性動力晶格、金茲堡-朗道模型、玻色-費米模型、生物熱物理、光傳播、腫瘤的熱療法，以及許多其他物理數學領域。

劉武名（Wu-Ming Liu）於1994年6月在中國科學院沈陽金屬研究所獲得博士學位。1996年，他成為中國科學院理論物理研究所的副教授，並自2002年起擔任該院物理研究所的全職教授。

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