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دسته بندی:
برق الکترونیک - Power Electronics
سال انتشار:
2021
عنوان انگلیسی مقاله:
Abundant traveling wave solutions to an intrinsic fractional discrete nonlinear electrical transmission line
ترجمه فارسی عنوان مقاله:
Abundant traveling wave solutions to an intrinsic fractional discrete nonlinear electrical transmission line
منبع:
ScienceDirect- Elsevier- Results in Physics, 28 (2021) 104587: doi:10:1016/j:rinp:2021:104587
نویسنده:
Shuangqing Chen
چکیده انگلیسی:
The main idea of this paper is to search for all traveling wave solutions to an intrinsic fractional discrete
nonlinear electrical transmission line, which plays a essential role in obtaining the new insights in nonlinear
voltage dynamics. We first give a brief introduction how to transform the discrete system into a continuous
one, which is described by a fractional-order partial differential equation. After that, this equation is handled
by conformable fractional transformation and the complete discrimination system for polynomial method
(CDSPM). By applying the advanced method, the whole of the exact traveling wave solutions emerged in
existing articles are obtained, especially we obtain the solitary wave solutions and elliptic functions solutions
which are hardly founded by other methods. Notably, the elliptic functions solutions in rational form are
discovered for the first time. Finally, the electrical characteristics and the fractional nature are revealed
via graphical represents. By the depicted graphs, we intuitively observe the existence of the phenomena for
periodic wave and solitary wave, and the time-fractional derivative is proved do has important influence on
the behaviors of the solutions. Considering the significance of the nonlinear electrical transmission line, the
acquired results would have wide application in electrical engineering and nonlinear voltage dynamics, liking
analyzing and predicting the complex voltage wave propagation phenomenon in realistic electrical transmission
system.
Keywords: Electrical transmission line | Traveling wave solutions | Conformable fractional transformation | The complete discrimination system for polynomial method
قیمت: رایگان
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