New Exact Traveling Wave Solutions of the Time Fractional Complex Ginzburg-Landau Equation via the Conformable Fractional Derivative
| Autor: | Zhao Li, Tianyong Han |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Physics
Partial differential equation Article Subject Applied Mathematics QC1-999 Mathematical analysis Hyperbolic function General Physics and Astronomy 02 engineering and technology Rational function Conformable matrix 021001 nanoscience & nanotechnology 01 natural sciences Fractional calculus 010309 optics Nonlinear system Transformation (function) 0103 physical sciences Trigonometric functions 0210 nano-technology |
| Zdroj: | Advances in Mathematical Physics, Vol 2021 (2021) |
| ISSN: | 1687-9139 1687-9120 |
| Popis: | In this study, the exact traveling wave solutions of the time fractional complex Ginzburg-Landau equation with the Kerr law and dual-power law nonlinearity are studied. The nonlinear fractional partial differential equations are converted to a nonlinear ordinary differential equation via a traveling wave transformation in the sense of conformable fractional derivatives. A range of solutions, which include hyperbolic function solutions, trigonometric function solutions, and rational function solutions, is derived by utilizing the new extendedG′/G-expansion method. By selecting appropriate parameters of the solutions, numerical simulations are presented to explain further the propagation of optical pulses in optic fibers. |
| Databáze: | OpenAIRE |
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