Abdullaev, Fatkhulla Kh.

Nonlinear Waves: Classical and Quantum Aspects

Abdullaev, Fatkhulla Kh. - Nonlinear Waves: Classical and Quantum Aspects, ebook


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Table of contents

I. Nonlinear Systems. General Topics

1. Towards Algebro-Geometric Integration of the Gross-Pitaevskii Equation
V.Z. Enolskii

2. On Modeling Adiabatic N-Soliton Interactions
V.S. Gerdjikov

3. Dynamical Stabilization of nonlinear Waves
Fatkhulla Abdullaev

4. Solitons as Strange Attractors
Nail Akhmediev, J. M. Soto-Crespo, A. Ankiewicz

5. Multidimensional Solitons and Vortices in Periodic Potentials
B. B. Baizakov, M. Salerno, B. A. Malomed

6. Globally-Linked Vortex Clusters
Lucian-Cornel Crasovan, Vadym Vekslerchik, Dumitru Mihalache, Juan P. Torres, Víctor M. Pérez-García, Lluis Torner

7. Solutions of the Logarithmic Schrödinger Equation in a Rotating Harmonic Trap
Iwo Bialynicki-Birula, Tomasz Sowinski

8. Linear and Nonlinear Bound States in Curved Waveguides
Yu.B. Gaididei, P.L. Christiansen, P.G. Kevrekidis, H. Büttner, A.R. Bishop

9. Numerical Study of a Nonlocal Sine-Gordon Equation
G. Alfimov, T. Pierantozzi, L. Vázquez

10. A Fruitful Interplay: From Nonlocality to Fractional Calculus
L. Vázquez

11. On 3+1 Dimensional Friedman-Robertson-Walker Universes with Matter
T. Christodoulakis, C. Helias, P.G. Kevrekidis, I.G. Kevrekidis, G. Papadopoulos

12. Stochastic Effects on the Eckhaus Equation
Silvana Lillo, Giampaolo Sanchini

13. Modulational Instability of Some Nonlinear Continuum and Discrete Models
D. Grecu, Anca Visinescu

14. Scattering of NLS Solitons with Bound Quantum States
Andrei Ludu

15. “Oscillator-Wave” Model: Multiple Attractors and Strong Stability
Vladimir Damgov, Plamen Trenchev

II. Bose-Einstein Condensates and Matter Waves

16. Bose-Einstein Condensation: The Odd Nonlinear Quantum Mechanics
L.P. Pitaevskii

17. Statistical Mechanics of Quantum Integrable Systems
Miki Wadati, Go Kato, Toshiaki Iida

18. Bose-Einstein Condensates in an Optical Lattice
C. Fort, L. Fallani

19. Bose-Einstein Condensates in Optical Lattices in the Nonlinear Regime
Oliver Morsch, Ennio Arimondo

20. Quantum Bound States and Matter Waves Delocalizations
Mario Salerno

21. Control of Matter Waves in Optical Lattices by Feshbach Resonance
V.A. Brazhnyi, V.V. Konotop

22. Two-Component Bose-Einstein Condensates in Optical Lattices
N.A. Kostov, V. S. Gerdjikov, V.Z. Enolskii, M. Salerno, V.V. Konotop

23. Shock Waves in Bose-Einstein Condensates
A.M. Kamchatnov, A. Gammal, R.A. Kraenkel

III. Nonlinear Optics and Photonics

24. Stopping and Bending Light in 2D Photonic Structures
Alejandro B. Aceves, Tomáš Dohnal

25. Model of the Two Level Quantum Dots Ensemble Interacting with Ultra-Short Pulse of Coherent Radiation
A. I. Maimistov

26. Enhanced Optical Transmission Via Tunnel Coupling in Surface Polaritonic Crystals
Sergey A. Darmanyan, Michel Nevière, Anatoly V. Zayats

27. Liquid Light in Cubic-Quintic Nonlinear Optical Materials
Humberto Michinel, Maria J. Paz-Alonso, Jose R. Salgueiro

28. Optical Pulse Evolution Toward Light Bullet and Vortex Solution
Vladimir Skarka, Najdan B. Aleksic, Vazha I. Berezhiani

29. The Description of Extremely Short Pulses in Non-Resonant Media in Frame of Maxwell-Duffing-Type Models
Elena V. Kazantseva

30. Statistics of Three Interacting Optical Solitons
Sonia Boscolo, Stanislav A. Derevyanko, Sergei K. Turitsyn

31. Statistical Study of Raman Scattering in Optical Fibers Affected by Random Conditions
J. Villarroel

32. Electromagnetics of Unharmonic Waves — Exactly Solvable Models
A. Shvartsburg

IV. Nonlinear Waves in Discrete Systems

33. Quantum Breathers in an Attractive Fermionic Hubbard Model
J.C. Eilbeck, F. Palmero

34. Energy Localization and First Order Phase Transition in Solids and Molecules
Shozo Takeno, Tetsuro Suzuki

35. Soliton Dynamics in Randomly Perturbed Discrete Lattices
J. Garnier

36. Ultrafast Electron Transfer: the Standard Theory Revisited
S. Aubry

37. Nonlinear Spectroscopy Study of Vibrational Self-Trapping in Hydrogen Bonded Crystals
Julian Edler, Peter Hamm

38. Quantum Anharmonic Phonons in the Fermi-Pasta-Ulam Chain
Jacob Szeftel

39. Dynamics of the Perturbed Ablowitz-Ladik Soliton Beyond the Adiabatic Approximation
E.V. Doktorov, N.P. Matsuka, V.M. Rothos

40. Travelling Waves in a Perturbed Discrete Sine-Gordon Equation
Vassilis M Rothos, Michal Feckan

41. Dynamics of Multicomponent Solitons in Perturbed Ladder Lattices
Oleksiy O. Vakhnenko

42. Miwa’s Representation of the Volterra Hierarchy
V.E. Vekslerchik

43. Moving Topological Solitons in the Discrete Klein-Gordon Equation
Yaroslav Zolotaryuk

44. Dynamics of Discrete Solitons in Media with Varying Nonlinearity
F. Kh. Abdullaev, E. N. Tsoy, B. A. Malomed, R. A. Kraenkel

45. On Continuous Limits of Some Generalized Compressible Heisenberg Spin Chains
N. S. Serikbaev, Kur. Myrzakul, F. K. Rahimov, R. Myrzakulov

46. On the Geometry of Stationary Heisenberg Ferromagnets
F. K. Rahimov, Kur. Myrzakul, N. S. Serikbaev, R. Myrzakulov


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Keywords: SCIENCE / Physics SCI055000

Publication year
Natural Sciences

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