The Discrete Nonlinear Schrödinger Equation Mathematical Analysis, Numerical Computations and Physical Perspectives /

This book constitutes the first effort to summarize a large volume of results obtained over the past 20 years in the context of the Discrete Nonlinear Schrödinger equation and the physical settings that it describes. It contains an introduction to the model, its systematic derivation and its connec...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Kevrekidis, Panayotis G. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2009.
Edición:1st ed. 2009.
Colección:Springer Tracts in Modern Physics, 232
Temas:
Quantum physics.
Mathematical physics.
Quantum Physics.
Theoretical, Mathematical and Computational Physics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • I Dimensions and Components
  • General Introduction and Derivation of the DNLS Equation
  • The One-Dimensional Case
  • The Two-Dimensional Case
  • The Three-Dimensional Case
  • The Defocusing Case
  • Extended Solutions and Modulational Instability
  • MultiComponent DNLS Equations
  • II Special Topics
  • Experimental Results Related to DNLS Equations
  • Numerical Methods for DNLS
  • The Dynamics of Unstable Waves
  • A Map Approach to Stationary Solutions of the DNLS Equation
  • Formation of Localized Modes in DNLS
  • Few-Lattice-Site Systems of Discrete Self-Trapping Equations
  • Surface Waves and Boundary Effects in DNLS Equations
  • Discrete Nonlinear Schr#x00F6;dinger Equations with Time-Dependent Coefficients ( of Lattice Solitons)
  • Exceptional Discretizations of the NLS: Exact Solutions and Conservation Laws
  • Solitary Wave Collisions
  • Related Models
  • DNLS with Impurities
  • Statistical Mechanics of DNLS
  • Traveling Solitary Waves in DNLS Equations
  • Decay and Strichartz Estimates for DNLS.

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