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Nonlinear partial differential equations for scientists and engineers /

"The book gives thorough coverage of the derivation and solution methods for all fundamental nonlinear model equations, such as Korteweg-de Vries, Camassa-Holm, Degasperis-Procesi, Euler-Poincare, Toda lattice, Boussinesq, Burgers, Fisher, Whitham, nonlinear Klein-Gordon, sine-Gordon, nonlinear...

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Detalles Bibliográficos
Autor principal: Debnath, Lokenath
Formato: Libro
Lenguaje:English
Publicado: New York : Birkhäuser, c2012.
Edición:Third edition.
Materias:

MARC

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100 1 |a Debnath, Lokenath.  |9 365920 
245 1 0 |a Nonlinear partial differential equations for scientists and engineers /  |c Lokenath Debnath. 
250 |a Third edition. 
260 |a New York :  |b Birkhäuser,  |c c2012. 
300 |a xxiii, 860 p. :  |b ilustraciones ;  |c 25 cm. 
504 |a Incluye bibliografía (p. [813]-846) e índice. 
505 0 |a 1. Linear partial differential equations -- 2. Nonlinear model equations and variational principles -- 3. First-order, quasi-linear equations and method of characteristics -- 4. First-order nonlinear equations and their applications -- 5. Conservation laws and shock waves -- 6. Kinematic waves and real-world nonlinear problems -- 7. Nonlinear dispersive waves and Whitham's equations -- 8. Nonlinear diffusion-reaction phenomena -- 9. Solitons and the inverse scattering transform -- 10. The nonlinear Schrodinger equation and solitary waves -- 11. Nonlinear Klein-Gordon and sine-Gordon equations -- 12. Asymptotic methods and nonlinear evolution equations -- 13. Tables of integral transforms -- A. Some special functions and their properties -- B. Fourier series, generalized functions, and Fourier and Laplace transforms -- C. Answers and hints to selected exercises. 
520 |a "The book gives thorough coverage of the derivation and solution methods for all fundamental nonlinear model equations, such as Korteweg-de Vries, Camassa-Holm, Degasperis-Procesi, Euler-Poincare, Toda lattice, Boussinesq, Burgers, Fisher, Whitham, nonlinear Klein-Gordon, sine-Gordon, nonlinear Schrodinger, nonlinear reaction-diffusion, and Euler-Lagrange equations."--Cubierta. 
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