Nonlinear Coherent Structures

This book is interdisciplinary in nature. It is devoted to the applications of the mathematical theory of solitons to solid-state physics, and statistical mechanics, and on to biological systems.

Inhalt
Solitons and their observable signatures in quasi-one-dimensional systems.- Local modes in molecules.- Dynamics of nonlinear excitations in DNA.- Nonlinear excitations in chains of hydrogen-bonded molecules: Incoherent neutron scattering in acetanilide and derivatives.- NMR study of nonlinear excitations in prebiological systems.- Finite temperature behaviour of the exciton bound states in the compressible molecular chain.- Solitons on a diatomic chain with alternating interactions.- Longitudinal and transverse proton collective dynamics on a two-dimensional multistable substrate.- Critical fluctuations in the 2D XY antiferromagnet BaNi2(PO4)2 : NMR measurements.- 1/S quantum corrections for the magnetic solitons in various Heisenberg models.- Defects in non-linear waves in convection.- Gap solitons in nonlinear electrical transmission lines.- Can a nontrivial solitonic mode be observed in a square Josephson junction?.- Radiative damping of driven sine-Gordon breathers.- Fluxon trapping by inhomogeneities in long Josephson junctions.- Dynamical regimes phase-locked to an external microwave field in a long, unbiased Josephson junction.- Existence and stability of driven and damped phase-locked NLS-solitons and SG-breathers.- Spectral characterization of 2-D nonlinear coherent structures.- The stochastic ? 4 model.- Invariants for the generalized Lotka-Volterra equations.- Slow relaxation effects in the evolution of nonlinear quantum systems.