Diverse optical soliton solutions of the fractional coupled (2 + 1)-dimensional nonlinear Schrödinger equations

• Published in: Optical and quantum electronics 2022-02, Vol.54 (2), Article 129
• Main Authors: Islam, Md. Tarikul, Akbar, Md. Ali, Ahmad, Hijaz
• Format: Article
• Language: English
• Subjects: Characterization and Evaluation of Materials; Computer Communication Networks; Differential equations; Electrical Engineering; Graphical representations; Hyperbolic functions; Lasers; Optical Devices; Optics; Ordinary differential equations; Photonics; Physics; Physics and Astronomy; Polynomials; Power law; Rational functions; Schrodinger equation; Solitary waves
• ISSN: 0306-8919; 1572-817X
• DOI: 10.1007/s11082-021-03472-z

Fractional nonlinear models involving the underlying mechanisms of numerous complicated physical phenomena arising in nature of real world have been taken major place of research arena during the couple of years for their significant roles. The study about the nonlinear optical and quantum context connecting to mostly Kerr law media as well as power law, dual-power law, triple-power law, saturable law, logarithm law and polynomial low is increasing at an inconceivable rate. In this exploration, the integrable generalized (2 + 1)-dimensional nonlinear Schrödinger system of equations in the sense of conformable fractional derivative is considered to unravel by means of two innovative schemes namely improved tanh method and rational G ′ / G -expansion method. The advised techniques are employed to seek for appropriate analytic wave solutions after converting the mentioned equation to an ordinary differential equation by introducing a wave variable alteration. The hyperbolic, trigonometric and rational function solutions are successfully gained and put forwarded for graphical representations. The assembled solutions are figured out in 3-D, 2-D and contour formats to illustrate their different views which appeared as kink type, anti-kink type, singular kink type, bell shape, anti-bell shape, singular bell shape, cuspon, peakon, periodic and singular periodic etc. The entire study bears the diversity and novelty of found solutions and applied techniques after making a comparable study with recent work recorded in the literature.