Introduction to Multidimensional Integrable Equations: The Inverse Spectral Transform in 2+1 Dimensions
- ISBN-10
- 1489911707
- ISBN-13
- 9781489911704
- Category
- Science
- Pages
- 292
- Language
- English
- Published
- 2013-06-29
- Publisher
- Springer Science & Business Media
- Author
- B.G. Konopelchenko
Description
The soliton represents one ofthe most important ofnonlinear phenomena in modern physics. It constitutes an essentially localizedentity with a set ofremarkable properties. Solitons are found in various areas of physics from gravitation and field theory, plasma physics, and nonlinear optics to solid state physics and hydrodynamics. Nonlinear equations which describe soliton phenomena are ubiquitous. Solitons and the equations which commonly describe them are also of great mathematical interest. Thus, the dis covery in 1967and subsequent development ofthe inversescattering transform method that provides the mathematical structure underlying soliton theory constitutes one of the most important developments in modern theoretical physics. The inversescattering transform method is now established as a very powerful tool in the investigation of nonlinear partial differential equations. The inverse scattering transform method, since its discoverysome two decades ago, has been applied to a great variety of nonlinear equations which arise in diverse fields of physics. These include ordinary differential equations, partial differential equations, integrodifferential, and differential-difference equations. The inverse scattering trans form method has allowed the investigation of these equations in a manner comparable to that of the Fourier method for linear equations.
Get the book
Other editions
-
- 1993-01-31
- 292 pages
- Paperback
- Springer
Similar books
-
Chemistry: An Introduction to General, Organic and Biological Chemistry
By Karen C. TimberlakeThis new edition introduces more problem-solving strategies and new conceptual and challenge problems. Also, each Chapter Review has been enhanced with Learning Goals to reinforce the mastery of concepts for students.
-
Chemistry: An Introduction to General, Organic, and Biological Chemistry
By Karen TimberlakeThis laboratory manual contains 42 experiments for the standard sequence of topics in general, organic, and biological chemistry.
-
Basic Chemistry
By Karen C. TimberlakeThe book guides students through basic chemistry problem solving with engaging visuals and a focus on developing the math skills necessary to be successful in the course.
-
General, Organic, and Biological Chemistry: Structures of Life, eBook, Global Edition
By Karen C. TimberlakeThe full text downloaded to your computer With eBooks you can: search for key concepts, words and phrases make highlights and notes as you study share your notes with friends eBooks are downloaded to your computer and accessible either ...
-
Basic Chemistry
By Karen C. Timberlake, William E. TimberlakeBasic Chemistry
-
Basic Chemistry, Books a la Carte Edition
By Karen C. TimberlakeBasic Chemistry, Books a la Carte Edition
-
Essential Laboratory Manual for General, Organic and Biological Chemistry
By Karen C. TimberlakeEssential Laboratory Manual for General, Organic and Biological Chemistry
-
Basic Chemistry, Global Edition
By Karen C. Timberlake, Bill TimberlakeThe main objective in writing this text is to make the study of chemistry an engaging and a positive experience for students by relating the structure and behaviour of matter to real life.
-
General, Organic, and Biological Chemistry: An Integrated Approach
By Karen C. Timberlake, Laura D. Frost, Todd S. DealThe eText pages look exactly like the printed text, and include powerful interactive and customization functions. This is the product access code card for MasteringChemistry with Pearson eText and does not include the actual bound book.
-
Chemistry: An Introduction to General, Organic, and Biological Chemistry
By Karen C. TimberlakeHealth, Environmental, and Green Chemistry Notes throughout the text relate chemistry chapters to real-life topics in health, the environment, and medicine that are interesting and motivating to students.