The Discrete Nonlinear Schrödinger Equation

The Discrete Nonlinear Schrödinger Equation
Author: Panayotis G. Kevrekidis
Publisher: Springer Science & Business Media
Total Pages: 417
Release: 2009-07-07
Genre: Science
ISBN: 3540891994

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.

Discrete and Continuous Nonlinear Schrödinger Systems

Discrete and Continuous Nonlinear Schrödinger Systems
Author: M. J. Ablowitz
Publisher: Cambridge University Press
Total Pages: 276
Release: 2004
Genre: Mathematics
ISBN: 9780521534376

This book presents a detailed mathematical analysis of scattering theory, obtains soliton solutions, and analyzes soliton interactions, both scalar and vector.

Localization And Energy Transfer In Nonlinear Systems, Proceedings Of The Third Conference

Localization And Energy Transfer In Nonlinear Systems, Proceedings Of The Third Conference
Author: Luis Vazquez
Publisher: World Scientific
Total Pages: 363
Release: 2003-05-22
Genre: Technology & Engineering
ISBN: 9814486515

This conference was the third meeting organized in the framework of the European LOCNET project. The main topics discussed by this international research collaboration were localization by nonlinearity and spatial discreteness, and energy transfer (in crystals, biomolecules and Josephson arrays).

The Nonlinear Schrödinger Equation

The Nonlinear Schrödinger Equation
Author: Catherine Sulem
Publisher: Springer Science & Business Media
Total Pages: 363
Release: 2007-06-30
Genre: Mathematics
ISBN: 0387227687

Filling the gap between the mathematical literature and applications to domains, the authors have chosen to address the problem of wave collapse by several methods ranging from rigorous mathematical analysis to formal aymptotic expansions and numerical simulations.

Solitons and the Inverse Scattering Transform

Solitons and the Inverse Scattering Transform
Author: Mark J. Ablowitz
Publisher: SIAM
Total Pages: 433
Release: 2006-05-15
Genre: Mathematics
ISBN: 089871477X

A study, by two of the major contributors to the theory, of the inverse scattering transform and its application to problems of nonlinear dispersive waves that arise in fluid dynamics, plasma physics, nonlinear optics, particle physics, crystal lattice theory, nonlinear circuit theory and other areas. A soliton is a localised pulse-like nonlinear wave that possesses remarkable stability properties. Typically, problems that admit soliton solutions are in the form of evolution equations that describe how some variable or set of variables evolve in time from a given state. The equations may take a variety of forms, for example, PDEs, differential difference equations, partial difference equations, and integrodifferential equations, as well as coupled ODEs of finite order. What is surprising is that, although these problems are nonlinear, the general solution that evolves from almost arbitrary initial data may be obtained without approximation.

Recent Developments in Theoretical Physics

Recent Developments in Theoretical Physics
Author: Subir Ghosh (Prof.)
Publisher: World Scientific
Total Pages: 438
Release: 2010
Genre: Science
ISBN: 9814287334

1. Is the end of theoretical physics really in sight? / A. Khare -- 2. Holography, CFT and black hole entropy / P. Majumdar -- 3. Hawking radiation, effective actions and anomalies / R. Banerjee -- 4. Probing dark matter in primordial black holes / A.S. Majumdar -- 5. Physics in the `Once Given' universe / C.S. Unnikrishnan -- 6. Doubly-special relativity / G. Amelino-Camelia -- 7. Nuances of neutrinos / A. Raychaudhuri -- 8. Dynamics of proton spin / A.N. Mitra -- 9. Whither nuclear physics? / A. Abbas -- 10. Generalized Swanson model and its pseudo supersymmetric partners / A. Sinha and P. Roy -- 11. The relevance of berry phase in quantum physics / P. Bandyopadhyay -- 12. Quantum Hamiltonian diagonalization / P. Gosselin, A. Bérard and H. Mohrbach -- 13. The Hall conductivity of spinning anyons / B. Basu -- 14. Quantum annealing and computation / A. Das and B.K. Chakrabarti -- 15. Liouville gravity from Einstein gravity / D. Grumiller and R. Jackiw -- 16. Exact static solutions of a generalized discret ø[symbol] / A. Khare -- 17. A model for flow reversal in two-dimensional convection / K. Kumar [und weitere] -- 18. Euclidean networks and dimensionality / P. Sen -- 19. Equal superposition transformations and quantum random walks / P. Parashar -- 20. Cloning entanglement locally / S.K. Choudhary and R. Rahaman

Discrete Variational Derivative Method

Discrete Variational Derivative Method
Author: Daisuke Furihata
Publisher: CRC Press
Total Pages: 376
Release: 2010-12-09
Genre: Mathematics
ISBN: 1420094467

Nonlinear Partial Differential Equations (PDEs) have become increasingly important in the description of physical phenomena. Unlike Ordinary Differential Equations, PDEs can be used to effectively model multidimensional systems. The methods put forward in Discrete Variational Derivative Method concentrate on a new class of "structure-preserving num

Solitons

Solitons
Author: P. G. Drazin
Publisher: Cambridge University Press
Total Pages: 244
Release: 1989-02-09
Genre: Mathematics
ISBN: 9780521336550

This textbook is an introduction to the theory of solitons in the physical sciences.

Wave Turbulence

Wave Turbulence
Author: Sergey Nazarenko
Publisher: Springer Science & Business Media
Total Pages: 287
Release: 2011-02-12
Genre: Science
ISBN: 3642159419

Wave Turbulence refers to the statistical theory of weakly nonlinear dispersive waves. There is a wide and growing spectrum of physical applications, ranging from sea waves, to plasma waves, to superfluid turbulence, to nonlinear optics and Bose-Einstein condensates. Beyond the fundamentals the book thus also covers new developments such as the interaction of random waves with coherent structures (vortices, solitons, wave breaks), inverse cascades leading to condensation and the transitions between weak and strong turbulence, turbulence intermittency as well as finite system size effects, such as “frozen” turbulence, discrete wave resonances and avalanche-type energy cascades. This book is an outgrow of several lectures courses held by the author and, as a result, written and structured rather as a graduate text than a monograph, with many exercises and solutions offered along the way. The present compact description primarily addresses students and non-specialist researchers wishing to enter and work in this field.