Nonlinear dispersive waves [electronic resource] : asymptotic analysis and solitons / Mark J. Ablowitz.

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"The field of nonlinear dispersive waves has developed enormously since the work of Stokes, Boussinesq and Korteweg-de Vries (KdV) in the nineteenth century. In the 1960s, researchers developed effective asymptotic methods for deriving nonlinear wave equations, such as the KdV equation, governing a...

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Bibliographic Details
Uniform Title:Cambridge texts in applied mathematics.
Main Author: Ablowitz, Mark J.
Language:English
Published: Cambridge, UK ; New York : Cambridge University Press, 2011.
Series:Cambridge texts in applied mathematics.
Subjects:
Wave equation.
Nonlinear waves.
Solitons.
Asymptotic expansions.
Online Access:
EBSCO eBooks: 2011 (EBSCO)
eBook Academic Collection (EBSCOhost) – North America: 2011 (EBSCO)
Variant Title:
Nonlinear Dispersive Waves: Asymptotic Analysis and Solitons
Format: Electronic eBook
Contents:
  • Machine generated contents note: Preface; Acknowledgements; Part I. Fundamentals and Basic Applications: 1. Introduction; 2. Linear and nonlinear wave equations; 3. Asymptotic analysis of wave equations; 4. Perturbation analysis; 5. Water waves and KdV type equations; 6. Nonlinear Schrödinger models and water waves; 7. Nonlinear Schrödinger models in nonlinear optics; Part II. Integrability and Solitons: 8. Solitons and integrable equations; 9. Inverse scattering transform for the KdV equation; Part III. Novel Applications of Nonlinear Waves: 10. Communications; 11. Mode-locked lasers; 12. Nonlinear photonic lattices; References; Index.