Structure of optical solitons of resonant Schrödinger equation with quadratic cubic nonlinearity and modulation instability analysis

Aly R. Seadawy, Dianchen Lu, Naila Nasreen and Shamila Nasreen

Physica A: Statistical Mechanics and its Applications, 2019, vol. 534, issue C

Abstract: The resonant nonlinear Schrödinger equation (NLSE) having quadratic-cubic nonlinearity for describing pulse phenomena and studied in nonlinear optics. In this work, we achieved optical solitons and solitary waves solutions of resonant NLSE with nonlinearities of quadratic and cubic by employing F-expansion method. In engineering and applied physics, these solutions have important applications. The stability of model is examined by employing the analysis of modulation instability, which shows that the obtained exact solutions are stable. We also given the movement of some achieved solutions graphically, which facilitates to recognize the physical interpretation of this complex nonlinear model. The achieved results confirm that this method is powerful and easy in applying.

Keywords: Proposed F-expansion method; Nonlinear Schrödinger equation with quadratic-cubic nonlinearity; Solitons; Periodic solutions; Solitary wave (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:534:y:2019:i:c:s0378437119312518

DOI: 10.1016/j.physa.2019.122155

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