Partial differential equations and solitary waves theory [electronic resource]
- 作者： Wazwaz, Abdul-Majid.
- 其他作者：
- 出版： Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg
- 叢書名： Nonlinear physical science,
- 主題： Differential equations, Partial , Wave equation--Numerical solutions , Engineering, general. , Appl.Mathematics/Computational Methods of Engineering. , Engineering
- ISBN： 9783642002519 (electronic bk.) 、 9783642002502 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
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讀者標籤：
- 系統號： 005050885 | 機讀編目格式
館藏資訊
"Partial Differential Equations and Solitary Waves Theory" is a self-contained book divided into two parts: Part I is a coherent survey bringing together newly developed methods for solving PDEs. While some traditional techniques are presented, this part does not require thorough understanding of abstract theories or compact concepts. Well-selected worked examples and exercises shall guide the reader through the text. Part II provides an extensive exposition of the solitary waves theory. This part handles nonlinear evolution equations by methods such as Hirota’s bilinear method or the tanh-coth method. A self-contained treatment is presented to discuss complete integrability of a wide class of nonlinear equations. This part presents in an accessible manner a systematic presentation of solitons, multi-soliton solutions, kinks, peakons, cuspons, and compactons. While the whole book can be used as a text for advanced undergraduate and graduate students in applied mathematics, physics and engineering, Part II will be most useful for graduate students and researchers in mathematics, engineering, and other related fields. Dr. Abdul-Majid Wazwaz is a Professor of Mathematics at Saint Xavier University, Chicago, Illinois, USA.