THE NEW EXACT SOLITARY SOLUTIONS FOR THE (3+1)-DIMENSIONAL ZAKHAROV-KUZNETSOV EQUATION USING THE RICCATI EQUATION

被引：0

作者：

Yin, Xiao-Jun ^{[1
]}

Liu, Quan-Sheng ^{[2
]}

Yang, Lian-Gui ^{[2
]}

Narenmandula ^{[1
]}

机构：

[1] Inner Mongolia Agr Univ, Coll Sci, Hohhot, Peoples R China

[2] Inner Mongolia Univ, Sch Math Sci, Hohhot, Peoples R China

来源：

THERMAL SCIENCE | 2020年 / 24卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Zakharov-Kuznetsov equation; subsidiary equation; exact solitary; Riccati equation; WAVES;

D O I：

10.2298/TSCI2006995Y

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

In this paper, a non-linear (3+1)-dimensional Zakharov-Kuznetsov equation is investigated by employing the subsidiary equation method, which arises in quantum magneto plasma. The periodic solutions, rational wave solutions, soliton solutions for the quantum Zakharov-Kuznetsov equation which play an important role in mathematical physics are obtained with the help of the Riccati equation expansion method. Meanwhile, the electrostatic potential can be accordingly obtained. Compared to the other methods, the exact solutions obtained will extend on earlier reports by using the Riccati equation.

引用

页码：3995 / 4000

页数：6

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