On the dissipative extended Kawahara solitons and cnoidal waves in a collisional plasma: Novel analytical and numerical solutions

被引：33

作者：

El-Tantawy, S. A. ^{[1
,2
]}

Salas, Alvaro H. ^{[3
]}

Alharthi, M. R. ^{[4
]}

机构：

[1] Port Said Univ, Fac Sci, Dept Phys, Port Said 42521, Egypt

[2] Al Baha Univ, Fac Sci & Arts, Dept Phys, Res Ctr Phys RCP, Al Mikhwah, Saudi Arabia

[3] Univ Nacl Colombia, Dept Math, FIZMAKO Res Grp, Bogota, Colombia

[4] Taif Univ, Dept Math & Stat, Coll Sci, POB 11099, At Taif 21944, Saudi Arabia

来源：

PHYSICS OF FLUIDS | 2021年 / 33卷 / 10期

关键词：

TANH-FUNCTION METHOD; SOLITARY WAVE; EQUATION;

D O I：

10.1063/5.0061823

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Two novel analytical solutions to the damped Gardner Kawahara equation and its related equations are reported. Using a suitable ansatz and with the help of the exact solutions of the undamped Gardner Kawahara equation, two general high-accurate approximate analytical solutions are derived. Moreover, the Crank-Nicolson implicit finite difference method is introduced for analyzing the evolution equation numerically. The comparison between the obtained solutions is examined. All the obtained solutions are able to investigate many types of the dissipative traveling wave solutions such as the dissipative solitary and cnoidal waves. Also, the obtained solutions help many researchers understand the mechanisms underlying a variety of nonlinear phenomena that can propagate in optical fiber, physics of plasmas, fluid mechanics, water tank, oceans, and seas. The obtained solutions could be applied for investigating the characteristics of the dissipative higher-order solitary and cnoidal waves in electronegative plasmas. Numerical results depending on the physical plasma parameters are presented. yPublished under an exclusive license by AIP Publishing.

引用

页数：12

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