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Dynamical properties and stability of snakelike solitons of cubic-quintic nonlinear Schrödinger equation with combined spatiotemporal modulation of nonlinearities and time-dependent linear-lattice potential

Indian Journal of Physics, ISSN: 0974-9845, Vol: 88, Issue: 7, Page: 709-714
2014
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Article Description

We study localized nonlinear matter waves of cubic-quintic nonlinear Schrödinger equation with combined spatiotemporal modulation of nonlinearities and time-dependent linear-lattice potential. Exact novel snakelike soliton solutions in terms of Mathieu and elliptic functions are obtained by using a modified similarity transformation. The stability of exact solutions is investigated numerically and some stable snakelike solitons are found. © 2014 Indian Association for the Cultivation of Science.

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