Modulation stability and optical soliton solutions of nonlinear Schrödinger equation with higher order dispersion and nonlinear terms and its applications

In optical fibers, the higher order non-linear Schrödinger equation (NLSE) with cubic quintic nonlinearity describes the propagation of extremely short pulses. We constructed bright and dark solitons, solitary wave and periodic solitary wave solutions of generalized higher order NLSE in cubic quinti...

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Bibliographic Details
Published inSuperlattices and microstructures Vol. 112; pp. 422 - 434
Main Authors Arshad, Muhammad, Seadawy, Aly R., Lu, Dianchen
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.12.2017
Subjects
Exact solutions
Generalized higher order nonlinear Schrödinger equation
Modified extended mapping method
Periodic solutions
Solitary wave solutions
Solitons
Modified extended mapping method
Solitary wave solutions
Periodic solutions
Generalized higher order nonlinear Schrödinger equation
Solitons
Exact solutions
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Summary:In optical fibers, the higher order non-linear Schrödinger equation (NLSE) with cubic quintic nonlinearity describes the propagation of extremely short pulses. We constructed bright and dark solitons, solitary wave and periodic solitary wave solutions of generalized higher order NLSE in cubic quintic non Kerr medium by applying proposed modified extended mapping method. These obtained solutions have key applications in physics and mathematics. Moreover, we have also presented the formation conditions on solitary wave parameters in which dark and bright solitons can exist for this media. We also gave graphically the movement of constructed solitary wave and soliton solutions, that helps to realize the physical phenomena's of this model. The stability of the model in normal dispersion and anomalous regime is discussed by using the modulation instability analysis, which confirms that all constructed solutions are exact and stable. Many other such types of models arising in applied sciences can also be solved by this reliable, powerful and effective method. •The hydrodynamic mathematical method is obtained.•Modulation stability analysis with applications is discussed.•Optical soliton solutions of nonlinear Schrödinger equation with higher order dispersion and nonlinear terms.
ISSN:0749-6036
1096-3677
DOI:10.1016/j.spmi.2017.09.054