期刊
RESULTS IN PHYSICS
卷 9, 期 -, 页码 1031-1039出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.rinp.2018.03.059
关键词
Traveling wave solution; Soliton; Generalized (G '/G)-expansion method; Time fractional Duffing equation; Time fractional Riccati equation
资金
- [1001/PMATHS/8011016]
In this article, we investigate the exact traveling wave solutions of two nonlinear time fractional wave equations. The fractional derivatives are described in the sense of conformable fractional derivatives. In addition, the traveling wave solutions are accomplished in the form of hyperbolic, trigonometric, and rational functions involving free parameters. To investigate such types of solutions, we implement the new generalized (G'/G)-expansion method. The extracted solutions are reliable, useful and suitable to comprehend the optimal control problems, chaotic vibrations, global and local bifurcations and resonances, furthermore, fission and fusion phenomena occur in solitons, the relativistic energy-momentum relation, scalar electrodynamics, quantum relativistic one-particle theory, electromagnetic interactions etc. The results reveal that the method is very fruitful and convenient for exploring nonlinear differential equations of fractional order treated in theoretical physics.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据