Generalized exponential rational function for distinct types solutions to the conformable resonant Schrödinger’s equation. (English) Zbl 1492.81049
Summary: The generalized exponential rational function method, which is one of the strong methods for solving nonlinear evolution equations, is applied to the conformable resonant nonlinear Schrödinger’s equation in this study. This equation plays a significant role in nonlinear fiber optics. It also has many important applications in photonic crystal fibers. The procedure implemented in this paper can be recommended in solving other equations in the field. All calculations and graphing are performed using powerful symbolic computational packages in Mathematica software. All calculations and graphing are performed using powerful symbolic computational packages in Mathematica software.
MSC:
| 81Q05 | Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics |
| 35Q55 | NLS equations (nonlinear Schrödinger equations) |
| 41A20 | Approximation by rational functions |
| 35R11 | Fractional partial differential equations |
| 78A60 | Lasers, masers, optical bistability, nonlinear optics |
| 78A50 | Antennas, waveguides in optics and electromagnetic theory |
| 82D25 | Statistical mechanics of crystals |
| 68W30 | Symbolic computation and algebraic computation |
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