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- Title
New solitary wave solutions of space-time fractional dynamical models.
- Authors
us Salam, Wardat; Alrajhi, Azizah Hassan; Fatima, Tehseen; Raza, Nauman
- Abstract
In this article, new traveling wave solutions are retrieved for two space-time fractional models: the resonant nonlinear Schrödinger equation and the Biswas–Milovic equation which illustrates the dynamics of optical soliton promulgation in optical fibers, both featuring Kerr law nonlinearity. These equations are explored via an efficient method namely, the extended simple equation method. The fractional derivative is used in the conformable sense to accomplish this analysis. The extracted solutions show dark, periodic, singular, and singular-periodic solitons behaviors, which are depicted graphically by using line, surface, and contour plots. The reported solutions are unique and novel. The proposed method distinguishes itself by its simplicity, reliability, and ability to generate novel soliton solutions for nonlinear Schrödinger equations within the realm of mathematical physics.
- Subjects
NONLINEAR Schrodinger equation; SPACETIME; MATHEMATICAL physics; OPTICAL fibers
- Publication
Optical & Quantum Electronics, 2024, Vol 56, Issue 6, p1
- ISSN
0306-8919
- Publication type
Article
- DOI
10.1007/s11082-024-06935-1