Published January 2021
| Version v1
Journal article
Highly dispersive optical solitons in the nonlinear Schrödinger's equation having polynomial law of the refractive index change
Creators
- 1. Mathematics Department, Faculty of Science, Zagazig University, Zagazig (Egypt)
- 2. Department of Physics, Chemistry and Mathematics, Alabama A and M University, Normal, AL, 35762-7500 (United States)
- 3. Department of Mathematics, King Abdulaziz University, Jeddah, 21589 (Saudi Arabia)
- 4. Department of Mathematics, Faculty of Science and Arts, Yozgat Bozok University, 66100, Yozgat (Turkey)
- 5. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan, 430212 (China)
- 6. Science Program, Texas A and M University at Qatar, PO Box 23874, Doha (Qatar)
Description
In this paper, we apply the unified Riccati equation expansion method, as well as two forms of auxiliary equation methodology, to find highly dispersive optical solitons in the nonlinear Schrödinger's equation having a polynomial law of the refractive index change. Bright, dark and singular solitons as well as periodic and Jacobi elliptic solutions are obtained that are presented together with their existence criteria. (author)
Additional details
Identifiers
Publishing Information
- Journal Title
- Indian Journal of Physics (Online)
- Journal Volume
- 95
- Journal Issue
- 1
- Journal Page Range
- p. 109-119
- ISSN
- 0974-9845
INIS
- Country of Publication
- India
- Country of Input or Organization
- India
- INIS RN
- 52050288
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BOUNDARY-VALUE PROBLEMS; FINITE ELEMENT METHOD; INTEGRAL EQUATIONS; LYAPUNOV METHOD; QUANTUM MECHANICS; REFRACTIVE INDEX; RICCATI EQUATION; SCHROEDINGER EQUATION; WAVE FUNCTIONS; WAVE PROPAGATION
- Descriptors DEC
- CALCULATION METHODS; DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; MATHEMATICAL SOLUTIONS; MECHANICS; NUMERICAL SOLUTION; OPTICAL PROPERTIES; PARTIAL DIFFERENTIAL EQUATIONS; PHYSICAL PROPERTIES; WAVE EQUATIONS