Summary: Nonlinear Waves: Classical and Quantum Aspects
Edited by Fatkhulla Abdullaev, Uzbek Academy of Sciences, Tashkent, Uzbekistan and Vladimir V.
Konotop, Centro de FÝsica Teˇrica e Computacional, Universidade de Lisboa, Portugal
NATO SCIENCE SERIES: II: Mathematics, Physics and Chemistry 153
June 2004 Hardbound 584 pp. ISBN 1-4020-2188-7
June 2004 Paperback 584 pp. ISBN 1-4020-2189-5
June 2004 eBook ISBN 1-4020-2190-9
Leading scientists discuss the most recent physical and experimental results in the physics of Bose-Einstein
condensate theory, the theory of nonlinear lattices (including quantum and nonlinear lattices), and nonlinear
optics and photonics. Classical and quantum aspects of the dynamics of nonlinear waves are considered.
The contributions focus on the Gross-Pitaevskii equation and on the quantum nonlinear Schr÷dinger
equation. Recent experimental results on atomic condensates and hydrogen bonded systems are reviewed.
Particular attention is given to nonlinear matter waves in periodic potential.
Contents and Contributors: Preface. Contributing Authors. I: Nonlinear Waves. General Topics.
Towards algebro-geometric integration of the Gross-Pitaevskii equation; V.Z. Enolskii. On modeling
adiabatic N-soliton interactions; V.S. Gerdjikov. Dynamical stabilization of nonlinear waves; F. Abdullaev.
Solitons as strange attractors; N. Akhmediev, et al. Multidimensional solitons and vortices in periodic
potentials; B.B. Baizakov, et al. Globally-linked vortex clusters; L.-C. Crasovan, et al. Solutions of the
logarithmic Schr÷dinger equation in a rotating harmonic trap; I. Bialynicki-Birula, T. Sowinski. Linear and
nonlinear bound states in curved waveguides; Yu.B. Gaididei, et al. Numerical study of a nonlocal