Symmetry reductions, explicit solutions, convergence analysis and conservation laws via multipliers approach to the Chen–Lee–Liu model in nonlinear optics

Author:

Aliyu Aliyu Isa1,Inc Mustafa2ORCID,Yusuf Abdullahi12,Bayram Mustafa3,Baleanu Dumitru45

Affiliation:

1. Department of Mathematics, Science Faculty, Federal University Dutse, Jigawa 7156, Nigeria

2. Department of Mathematics, Science Faculty, Firat University, Elazig 23000, Turkey

3. Department of Computer Engineering, Istanbul Gelisim University, Istanbul, Turkey

4. Department of Mathematics, Science Faculty, Cankaya University, Ankara 06010, Turkey

5. Institute of Space Sciences, Magurele 077126, Romania

Abstract

In this paper, symmetry analysis is performed for the nonlinear Chen–Lee–Liu equation (NCLE) arising in temporal pulses. New forms of explicit solutions of the equation are constructed using the optimal systems by applying the power series solutions (PSS) technique and the convergence of the PSS is investigated. Finally, the conservation laws (Cls) of the model is studied using the multiplier approach.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

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