Solitons and the Inverse Scattering Transform is popular PDF and ePub book, written by Mark J. Ablowitz in 2006-05-15, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Solitons and the Inverse Scattering Transform can be Read Online from any device for your convenience.
Solitons and the Inverse Scattering Transform Book PDF Summary
A study, by two of the major contributors to the theory, of the inverse scattering transform and its application to problems of nonlinear dispersive waves that arise in fluid dynamics, plasma physics, nonlinear optics, particle physics, crystal lattice theory, nonlinear circuit theory and other areas. A soliton is a localised pulse-like nonlinear wave that possesses remarkable stability properties. Typically, problems that admit soliton solutions are in the form of evolution equations that describe how some variable or set of variables evolve in time from a given state. The equations may take a variety of forms, for example, PDEs, differential difference equations, partial difference equations, and integrodifferential equations, as well as coupled ODEs of finite order. What is surprising is that, although these problems are nonlinear, the general solution that evolves from almost arbitrary initial data may be obtained without approximation.
Detail Book of Solitons and the Inverse Scattering Transform PDF
- Author : Mark J. Ablowitz
- Release : 15 May 2006
- Publisher : SIAM
- ISBN : 9780898714777
- Genre : Mathematics
- Total Page : 433 pages
- Language : English
- PDF File Size : 20,9 Mb
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