Dust acoustic rogue waves of fractional-order model in dusty plasma  

作　　者：Jun-Chao Sun Zong-Guo Zhang Huan-He Dong Hong-Wei Yang 

机构地区：[1]College of Mathematics and System Science,Shandong University of Science and Technology,Qingdao 266590,China [2]School of Mathematics Statistics,Qilu University of Technology(Shandong Academy of Sciences),Jinan 250353,China

出　　处：《Communications in Theoretical Physics》2020年第12期1-17,共17页理论物理通讯（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grants 11975143)。

摘　　要：In this paper,the fractional-order model is used to study dust acoustic rogue waves in dusty plasma.Firstly,based on control equations,the multi-scale analysis and reduced perturbation method are used to derive the(3+1)-dimensional modified Kadomtsev–Petviashvili(MKP)equation.Secondly,using the semi-inverse method and the fractional variation principle,the(3+1)-dimensional time-fractional modified Kadomtsev–Petviashvili(TF-MKP)equation is derived.Then,the Riemann–Liouville fractional derivative is used to study the symmetric property and conservation laws of the(3+1)-dimensional TF-MKP equation.Finally,the exact solution of the(3+1)-dimensional TF-MKP equation is obtained by using fractional order transformations and the definition and properties of Bell polynomials.Based on the obtained solution,we analyze and discuss dust acoustic rogue waves in dusty plasma.

关 键 词：time-fractional modified Kadomtsev–Petviashvili equation conservation laws dust acoustic rogue waves 

分 类 号：TL612[核科学技术—核技术及应用]