11 Matter wave solitons and other localized excitations in Bose–Einstein condensates in atom optics
P. Muruganandam and M. Lakshmanan
11.1 Introduction
Solitons belong to a special class of localized solitary wave packets which maintain their shapes and amplitudes owing to self-stabilization against dispersion through a nonlinear interaction [1, 2] which arise as the solutions of a variety of weakly nonlinear dispersive partial differential equations describing physical systems. Study of such localized structures has been a central theme for evolution dynamics of many physical systems. In this context, considerable interest has been shown in exploring localized excitations in the variable coefficient nonlinear Schrödinger (NLS) equation and ...
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