Nonlinear partial differential equations for scientists and engineers /

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"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:
Ecuaciones diferenciales no lineales.
Tabla de Contenidos:
  • 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.

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