Nonlinear dispersive waves : asymptotic analysis and solitons /

"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, governi...

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Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Ablowitz, Mark J.
Format: Électronique eBook
Langue:Inglés
Publié: Cambridge ; New York : Cambridge University Press, 2011.
Collection:Cambridge texts in applied mathematics.
Sujets:
Wave equation.
Nonlinear waves.
Solitons.
Asymptotic expansions.
Équations d'onde.
Ondes non linéaires.
Développements asymptotiques.
MATHEMATICS > General.
Solitones
Desarrollos asintóticos
Asymptotic expansions
Nonlinear waves
Solitons
Wave equation
Accès en ligne:Texto completo
Table des matières:
  • Preface
  • Acknowledgements
  • Introduction
  • Linear and nonlinear wave equations
  • Asymptotic analysis of wave equations
  • Perturbation analysis
  • Water waves and KdV type equations
  • Nonlinear Schrödinger models and water waves
  • Nonlinear Schrödinger models in nonlinear optics
  • Solitons and integrable equations
  • Inverse scattering transform for the KdV equation
  • Communications
  • Mode-locked lasers.

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