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Nonlinear Partial Differential Equations for Scientists and Engineers

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...

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Bibliographic Details
Main Author: Debnath, Lokenath
Format: eBook
Language:English
Published: Boston, MA Birkhäuser 2005, 2005
Edition:2nd ed. 2005
Subjects:
Classical And Continuum Physics
Mathematical Analysis
Analysis
Mathematical Physics
Physics
Applications Of Mathematics
Mathematics
Differential Equations
Theoretical, Mathematical And Computational Physics
Mathematical Methods In Physics
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 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 Schrödinger Equation and Solitary Waves
  • Nonlinear Klein-Gordon and Sine-Gordon Equations
  • Asymptotic Methods and Nonlinear Evolution Equations
  • Tables of Integral Transforms

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