Journal
PRAMANA-JOURNAL OF PHYSICS
Volume 96, Issue 4, Pages -Publisher
INDIAN ACAD SCIENCES
DOI: 10.1007/s12043-022-02427-7
Keywords
Nonlinear Schrodinger-type equation; conformable derivative; generalised Riccati simple equation method; modified simple equation method; optical solitons; 02; 30; Jr; 05; 45; Yv; 94; 05; Fg
Categories
Funding
- Deanship of Scientific Research at Umm Al-Qura University [22UQU4410172DSR11]
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The current study presents a new generalisation of highly dispersive nonlinear Schrodinger-type equation with perturbation terms, including eighth-order dispersion term. The RSEM and MSEM methods are successfully utilised to process the fractional version of the considered NLSE, resulting in a diverse collection of optical solitons with graphical interpretations showing their properties. These schemes provide an influential mathematical tool for processing nonlinear fractional evolution equations.
The current study suggests a new generalisation of highly dispersive nonlinear Schrodinger-type equation (NLSE) with perturbation terms. With polynomial refractive index, known by cubic-quintic-septic (CQS) law and Hamiltonian-type cubic perturbation terms, the new model includes eighth-order dispersion term. The generalised Riccati simplest equation method (RSEM) and the modified simplest equation method (MSEM) are successfully utilised to analytically process the fractional version of the considered NLSE. A diverse collection of bright, dark and singular optical solitons under some constraints, in hyperbolic, periodic and rational-exponential forms are derived. Graphical interpretations of some obtained solutions are displayed. The two considered schemes, with different algorithms, show an influential mathematical tool for processing nonlinear fractional evolution equations.
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