We present a progress overview focused on the recent theoretical and experimental
advances in the area of soliton manipulation in optical lattices. Optical lattices offer the …

Established techniques for deterministically creating dark solitons in repulsively interacting
atomic Bose-Einstein condensates (BECs) can only access a narrow range of soliton …

We study nonlinear dynamics of Rydberg-dressed Bose-Einstein condensates (BECs)
trapped in a triple-well potential in the semiclassical limit. The Rydberg-dressed BECs …

The dynamics of fundamental solitons is examined for periodic and defective lattices when
the lattice period is varied. The existence domain and stability intervals of solitons are …

We present an approximate analytical theory and direct numerical computation of defect
modes of a Bose-Einstein condensate loaded in an optical lattice and subject to an …

Using similarity transformations we construct explicit solutions of the nonlinear Schrödinger
equation with linear and nonlinear periodic potentials. We present explicit forms of spatially …

Complete integrability and the Miura transformation of a coupled KdV equation - ScienceDirect
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In this paper, the homotopy perturbation method is extended to investigate the numerical
complexiton solutions of the complex KdV equation. By constructing special forms of initial …

The physical mechanism underlying scattering properties of matter-wave gap solitons (GSs)
by linear-optical-lattice defects is investigated. The occurrence of repeated reflection …

We study the possibility of implementing a quantum switch and a quantum memory using
matter-wave lattice solitons and making them interact with'effective'potentials (barrier/well) …