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

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

Paperback

Series: Springer Tracts in Modern Physics, Book 232

Physics

ISBN10: 364224243X
ISBN13: 9783642242434
Publisher: Springer
Published: Nov 29 2011
Pages: 416
Weight: 1.34
Height: 0.89 Width: 6.14 Depth: 9.21
Language: English
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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