Solitons : an introduction [EBook] / P.G. Drazin, R.S. Johnson.
Solitons : an introduction [EBook] / P.G. Drazin, R.S. Johnson.
This textbook is an introduction to the theory of solitons and its diverse applications to nonlinear systems that arise in the physical sciences. The authors explain the generation and properties of solitons, introducing the mathematical technique known as the Inverse Scattering Transform. Their aim...
Personal Name(s):  Drazin, P. G., (author) 

Johnson, R. S., (author)  
Edition: 
Second edition. 
Imprint: 
Cambridge :
Cambridge University Press,
1989

Physical Description: 
1 online resource (xii, 226 pages) 
Note: 
englisch 
ISBN: 
9780521336550 9780521333894 9781139172059 
Series Title: 
Cambridge texts in applied mathematics ;
2 
Subject (LOC):  
Full Text 
This textbook is an introduction to the theory of solitons and its diverse applications to nonlinear systems that arise in the physical sciences. The authors explain the generation and properties of solitons, introducing the mathematical technique known as the Inverse Scattering Transform. Their aim is to present the essence of inverse scattering clearly, rather than rigorously or completely. Thus, the prerequisites (i.e., partial differential equations, calculus of variations, Fourier integrals, linear waves and SturmLiouville theory), and more advanced material is explained in the text with useful references to further reading given at the end of each chapter. Worked examples are frequently used to help the reader follow the various ideas, and the exercises at the end of each chapter not only contain applications but also test understanding. Answers, or hints to the solution, are given at the end of the book. Sections and exercises that contain more difficult material are indicated by asterisks. 