Simulation Studies on the Dissipative Modified Kawahara Solitons in a Complex Plasma

被引:51
作者
Ismaeel, Sherif M. E. [1 ,2 ]
Wazwaz, Abdul-Majid [3 ]
Tag-Eldin, Elsayed [4 ]
El-Tantawy, Samir A. [5 ,6 ]
机构
[1] Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities Al Kharj, Dept Phys, Al Kharj 11942, Saudi Arabia
[2] Ain Shams Univ, Fac Sci, Dept Phys, Cairo 11566, Egypt
[3] St Xavier Univ, Dept Math, Chicago, IL 60655 USA
[4] Future Univ Egypt, Fac Engn & Technol, New Cairo 11835, Egypt
[5] Port Said Univ, Fac Sci, Dept Phys, Port Said 42521, Egypt
[6] Al Baha Univ, Fac Sci & Arts, Res Ctr Phys RCP, Dept Phys, Al Baha 1988, Saudi Arabia
来源
SYMMETRY-BASEL | 2023年 / 15卷 / 01期
关键词
modified Kawahara equation; dissipative modified Kawahara equation solitons; collisional plasmas; superthermal electrons; SOLITARY WAVE SOLUTIONS; EQUATION; WATER;
D O I
10.3390/sym15010057
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this work, a damped modified Kawahara equation (mKE) with cubic nonlinearity and two dispersion terms including the third- and fifth-order derivatives is analyzed. We employ an effective semi-analytical method to achieve the goal set for this study. For this purpose, the ansatz method is implemented to find some approximate solutions to the damped mKE. Based on the proposed method, two different formulas for the analytical symmetric approximations are formally obtained. The derived formulas could be utilized for studying all traveling waves described by the damped mKE, such as symmetric solitary waves (SWs), shock waves, cnoidal waves, etc. Moreover, the energy of the damped dressed solitons is derived. Furthermore, the obtained approximations are used for studying the dynamics of the dissipative dressed (modified Kawahara (mK)) dust-ion acoustic (DIA) solitons in an unmagnetized collisional superthermal plasma consisting of inertia-less superthermal electrons and inertial cold ions as well as immobile negative dust grains. Numerically, the impact of the collisional parameter that arises as a result of taking the ion-neutral collisions into account and the electron spectral index on the profile of the dissipative structures are examined. Finally, the analytical and numerical approximations using the finite difference method (FDM) are compared in order to confirm the high accuracy of the obtained approximations. The achieved results contribute to explaining the mystery of several nonlinear phenomena that arise in different plasma physics, nonlinear optics, shallow water waves, oceans, and seas, and so on.
引用
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页数:14
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