2012

Nonlinear Partial Differential Equations for Scientists and Engineers

Authors:

ISBN: 978-0-8176-8264-4 (Print) 978-0-8176-8265-1 (Online)

Table of contents (13 chapters)

  1. Front Matter

    Pages I-XXIII

  2. No Access

    Book Chapter

    Pages 1-147

    Linear Partial Differential Equations

  3. No Access

    Book Chapter

    Pages 149-199

    Nonlinear Model Equations and Variational Principles

  4. No Access

    Book Chapter

    Pages 201-226

    First-Order, Quasi-linear Equations and Method of Characteristics

  5. No Access

    Book Chapter

    Pages 227-256

    First-Order Nonlinear Equations and Their Applications

  6. No Access

    Book Chapter

    Pages 257-281

    Conservation Laws and Shock Waves

  7. No Access

    Book Chapter

    Pages 283-354

    Kinematic Waves and Real-World Nonlinear Problems

  8. No Access

    Book Chapter

    Pages 355-379

    Nonlinear Dispersive Waves and Whitham’s Equations

  9. No Access

    Book Chapter

    Pages 381-423

    Nonlinear Diffusion–Reaction Phenomena

  10. No Access

    Book Chapter

    Pages 425-533

    Solitons and the Inverse Scattering Transform

  11. No Access

    Book Chapter

    Pages 535-577

    The Nonlinear Schrödinger Equation and Solitary Waves

  12. No Access

    Book Chapter

    Pages 579-622

    Nonlinear Klein–Gordon and Sine-Gordon Equations

  13. No Access

    Book Chapter

    Pages 623-674

    Asymptotic Methods and Nonlinear Evolution Equations

  14. No Access

    Book Chapter

    Pages 675-687

    Tables of Integral Transforms

  15. Back Matter

    Pages 689-860