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

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

          
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About the Book

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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Product Details
  • ISBN-13: 9783642242434
  • Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
  • Binding: Paperback
  • Height: 234 mm
  • No of Pages: 416
  • Series Title: Springer Tracts in Modern Physics
  • Sub Title: Mathematical Analysis, Numerical Computations and Physical Perspectives
  • Width: 156 mm
  • ISBN-10: 364224243X
  • Publisher Date: 29 Nov 2011
  • Edition: 2009 ed.
  • Language: English
  • Returnable: Y
  • Spine Width: 23 mm
  • Weight: 608 gr


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