The (2+1)-dimensional nonlinear evolution equation in dusty plasma and its analytical solutions

被引：1

作者：

Xu, Liyang ^{[1
]}

Yin, Xiaojun ^{[1
]}

Sa, Rula ^{[1
]}

机构：

[1] Inner Mongolia Agr Univ, Coll Sci, Hohhot 010018, Peoples R China

来源：

MODERN PHYSICS LETTERS B | 2022年 / 36卷 / 11期

基金：

中国国家自然科学基金;

关键词：

The generalized exponential rational function method; KP equation; the analytical solutions; dusty plasmas; ROGUE WAVE SOLUTIONS; LUMP; SOLITONS; BOUSSINESQ; SYSTEM; PAIR;

D O I：

10.1142/S0217984922500403

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

In this paper, a (2+1)-dimensional Kadomtsev-Petviashvili (KP) equation is studied from the governing equations of dusty plasma by means of multiscale analysis and reduced perturbation method. We utilize the generalized exponential rational function method to give various forms of analytical solutions with free parameters of the corresponding equation by using Mathematica software calculation. Then, appropriate parameter values are selected to draw the three-dimensional (3D) diagram and contour diagram of the analytic solutions. We also give the influence of these physical parameters on wave amplitude, waves profile, and stability of waves. The results show the generalized method is a reliable mathematical method to solve similar nonlinear equations in mathematical physics and these solutions can enrich the physical behavior of the equation in dusty plasma.

引用

页数：13

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