| 作者： |
Sheng Zhang, Yuanyuan Wei, Bo Xu
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| 刊名： |
Thermal Science, 2019, Vol.23 (3A/2019), pp.1425-1431 |
| 来源数据库： |
Society for Thermal Engineers of Serbia |
| DOI： |
https://doi.org/10.2298/TSCI180815207Z |
| 关键词： |
LFKP equation; N-soliton solution; Fractional soliton dynamics; Hirtoa’s bilinear method; Mittag-Leffler function; |
| 原始语种摘要： |
Kadomtsev-Petviashvili equation is a mathematical model with many important applications in fluids. In this paper, a local fractional Kadomtsev-Petviashvili equation with Lax integrability is derived and solved by extending Hirota’s bilinear method. More specifically, the local fractional Kadomtsev-Petviashvili equation is derived from a local fractional Lax equation. With the help of a suitable transformation, the local fractional Kadomtsev-Petviashvili equation is then bilinearized. Based on the bilinearized form, n-soliton solution with Mittag-Leffler functions is obtained. In order to gain more insights into the fractional n-soliton solution, the velocity of the fractional one-soliton solution is simulated. It is shown that the velocity of the fractional one-soliton changes with the... fractional order.
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