A Novel Research on the Presence of Discrete Solitons in a HEXALATTICE

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Rahul Chhimpa

Abstract

In this study a non-rectangular hexagonal geometry lattice due to the topological charge showsthe probability of a closed phase portrait and minimum cycle in case of focusing nonlinearity. A straightstability measurement of discrete solitons is given. The way of mathematical continuation is applied to getthe results and the dynamical equations. The phase plane analysis shows existence of Limit cycle in thephase plane indicating stability of solitons.

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