Nonlinear Partial Differential Equations for Scientists and Engineers

An exceptionally complete overview of the latest developments in the field of PDEs. There are numerous examples and the emphasis is on applications to almost all areas of science and engineering. There is truly something for everyone here. —Applied Mechanics Review (Review of First Edition) Overall,...

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Detalles Bibliográficos
Autor principal: Debnath, Lokenath (-)
Autor Corporativo: SpringerLink (-)
Formato: Libro electrónico
Idioma:Inglés
Publicado: Boston : Birkhäuser Boston 2012.
Edición:3rd ed
Colección:Springer eBooks.
Acceso en línea:Conectar con la versión electrónica
Ver en Universidad de Navarra:https://innopac.unav.es/record=b32906468*spi
Tabla de Contenidos:
  • Preface to the Third Edition
  • Preface
  • Linear Partial Differential Equations
  • Nonlinear Model Equations and Variational Principles
  • First-Order, Quasi-Linear Equations and Method of Characteristics
  • First-Order Nonlinear Equations and Their Applications
  • Conservation Laws and Shock Waves
  • Kinematic Waves and Real-World Nonlinear Problems
  • Nonlinear Dispersive Waves and Whitham's Equations
  • Nonlinear Diffusion-Reaction Phenomena
  • Solitons and the Inverse Scattering Transform
  • The Nonlinear Schroedinger Equation and Solitary Waves
  • Nonlinear Klein--Gordon and Sine-Gordon Equations
  • Asymptotic Methods and Nonlinear Evolution Equations
  • Tables of Integral Transforms
  • Answers and Hints to Selected Exercises
  • Bibliography
  • Index.