Construction of solitary wave solutions to the nonlinear modified Kortewege-de Vries dynamical equation in unmagnetized plasma via mathematical methods

被引：132

作者：

Iqbal, Mujahid ^{[1
]}

Seadawy, Aly R. ^{[2
,3
]}

Lu, Dianchen ^{[1
]}

机构：

[1] Jiangsu Univ, Fac Sci, Zhenjiang 212013, Jiangsu, Peoples R China

[2] Taibah Univ, Math Dept, Fac Sci, Al Madinah Al Munawarah, Saudi Arabia

[3] Beni Suef Univ, Fac Sci, Math Dept, Bani Suwayf, Egypt

来源：

MODERN PHYSICS LETTERS A | 2018年 / 33卷 / 32期

关键词：

Modified Kortewege-de Vries equation; mathematical methods; unmagnetized plasma; electron-acoustic solitary wave solutions; electrostatic potential; HIGHER-ORDER; SCHRODINGER-EQUATION; STABILITY ANALYSIS; BURGERS EQUATION; BIFURCATIONS; INSTABILITY; BRIGHT;

D O I：

10.1142/S0217732318501833

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

In this research, we consider the propagation of one-dimensional nonlinear behavior in a unmagnetized plasma. By using the reductive perturbation technique to formulate the nonlinear mathematic model which is modified Kortewege-de Vries (mKdV), we apply the extended form of two methods, which are extended auxiliary equation mapping and extended direct algebraic methods, to investigate the new families of electron-acoustic solitary wave solutions of mKdV. These new exact traveling and solitary wave solutions which represent the electrostatic potential for mKdV and also the graphical representation of electrostatic potential are shown with the aid of Mathematica.

引用

页数：13

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