Nonlinear Partial Differential Equations for Scientists and Engineers
- ISBN-10
- 0817643230
- ISBN-13
- 9780817643232
- Series
- Nonlinear Partial Differential Equations for Scientists and Engineers
- Category
- Differential equations, Nonlinear
- Pages
- 776
- Language
- English
- Published
- 2005
- Publisher
- Springer Science & Business Media
- Author
- Lokenath Debnath
Description
Topics and key features: * Thorough coverage of derivation and methods of solutions for all fundamental nonlinear model equations, which include Korteweg--de Vries, Boussinesq, Burgers, Fisher, nonlinear reaction-diffusion, Euler--Lagrange, nonlinear Klein--Gordon, sine-Gordon, nonlinear Schrödinger, Euler, Water Waves, Camassa and Holm, Johnson, Davey-Stewartson, Kolmogorov, Petrovsky and Piscunov, Kadomtsev and Petviashivilli, Benjamin, Bona and Mahony, Harry Dym, Lax, and Whitman equations * Systematic presentation and explanation of conservation laws, weak solutions, and shock waves * Solitons, compactons, intrinsic localized modes, and the Inverse Scattering Transform * Special emphasis on nonlinear instability of dispersive waves with applications to water waves * Over 600 worked examples and end-of-chapter exercises with hints and selected solutions New features of the Second Edition include: * Improved presentation of results, methods of solutions,
Get the book
Other editions
-
- 2013-11-11
- 593 pages
- Ebook
- Springer Science & Business Media
-
- 2011-10-06
- 872 pages
- Ebook
- Springer Science & Business Media
-
- 2010-02-20
- 738 pages
- Ebook
- Springer Science & Business Media
-
- 1997
- 593 pages
- Paperback
- Birkhäuser
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