New Analytical Solutions of Wick-Type Stochastic Schamel KdV Equation Via Modified Khater Method

被引：11

作者：

Abdel-Aty, Abdel-Haleem ^{[1
,2
]}

Khater, Mostafa M. A. ^{[3
]}

Zidan, A. M. ^{[4
,5
]}

Attia, Raghda A. M. ^{[3
,6
]}

机构：

[1] Univ Bisha, Dept Phys, Bisha 61922, Saudi Arabia

[2] Al Azhar Univ, Phys Dept, Assiut 71524, Egypt

[3] Jiangsu Univ, Dept Math, Zhenjiang 212013, Jiangsu, Peoples R China

[4] King Khalid Univ, Dept Math, Abha 61413, Saudi Arabia

[5] Al Azhar Univ, Math Dept, Assiut 71524, Egypt

[6] Higher Technol Inst, Dept Basic Sci, Ramadan City 44634, Egypt

来源：

JOURNAL OF INFORMATION SCIENCE AND ENGINEERING | 2020年 / 36卷 / 06期

关键词：

Wick-type stochastic Schamel KdV equation; modified Khater method; analytical traveling wave solutions; solitary waves; partial differential equations; TRAVELING-WAVE SOLUTIONS; CONSERVATION-LAWS;

D O I：

10.6688/JISE.202011_36(6).0010

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This research employs a new analytical scheme to construct novel traveling wave solutions of the Wick-type stochastic Schamel KdV equation. This equation explains the electrostatic potential for a particular electron distribution in velocity space. It is also used to explain the nonlinear interaction of ion-acoustic waves when electron trapping. By using the Hermite transform, inverse Hermite transforms, and white noise analysis allows us for applying the modified Khater method to this model. Many novel solutions are obtained and sketched to discuss more physical properties of the model.

引用

页码：1279 / 1291

页数：13

共 38 条

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