Nonlinear partial differential equations for scientists and engineers
著者
書誌事項
Nonlinear partial differential equations for scientists and engineers
Birkhäuser, c1997
- : Boston
- : Basel
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注記
Includes bibliographical references (p. [559]-580) and index
内容説明・目次
内容説明
A complete and accessible text/reference for graduates and professionals in mathematics, physics, science and engineering. For those interested in advanced study and research in nonlinear partial differential equations and nonlinear wave phenomena, the book is also suitable for self-study.
目次
Part 1 Linear partial differential equations. Part 2 Nonlinear model equations and variational principles. Part 3 First-order quasi-linear equations and method of characteristics. Part 4 First-order nonlinear equations and their applications. Part 5 Conservation laws and shock waves. Part 6 Kinematic waves and specific real-world nonlinear problems. Part 7 Nonlinear dispersive waves and Whitman's equations. Part 8 Nonlinear diffusion-reaction phenomena, Burgers' and Fishers' equations. Part 9 Solitons and the inverse scattering transfrom. Part 10 The nonlinear Schrodinger equation and solitary waves. Part 11 Nonlinear Klien-Gordon and Sine-Gordon equations. Part 12 Asymptotic methods and nonlinear evolution equations. Answers to selected exercises.
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