Some new families of solitary wave solutions of the generalized Schamel equation and their applications in plasma physics

被引:104
作者
Cheemaa, Nadia [1 ]
Seadawy, Aly R. [2 ,3 ]
Chen, Sheng [1 ]
机构
[1] Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R China
[2] Taibah Univ, Fac Sci, Dept Math, Al Madinah Al Munawarah, Saudi Arabia
[3] Beni Suef Univ, Fac Sci, Dept Math, Bani Suwayf, Egypt
关键词
KORTEWEG-DE-VRIES; NONLINEAR SCHRODINGER-EQUATION; ZAKHAROV-KUZNETSOV; MATHEMATICAL-METHODS; DYNAMICAL EQUATION; STABILITY ANALYSIS; BURGERS EQUATION; DIFFUSION;
D O I
10.1140/epjp/i2019-12467-7
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
.In this article we studied analytically the propagation of nonlinear ion acoustic solitary waves modeled by the generalized Schamel (GS) equation arising in plasma physics using auxiliary equation mapping method. As a result, we found a series of more general and new families of solutions, which are more powerful in the development of soliton dynamics, quantum plasma, adiabatic parameter dynamics, biomedical problems, fluid dynamics, industrial studies and many other fields. The calculations prove that this method is more reliable, straightforward, and effective to study analytically other nonlinear complicated physical problems modeled by complex nonlinear partial differential equations arising in mathematical physics, hydrodynamics, fluid mechanics, mathematical biology, plasma physics, engineering disciplines, chemistry and many other natural sciences. We also have expressed our solutions graphically with the help of Mathematica 10.4 to understand physically the behavior of different shapes of ion acoustic solitary waves including kink-type, anti-kink-type, half-bright and dark soliton.
引用
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页数:9
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共 48 条
[1]  
Al Atawi N.O., 2017, J MATH RES, V9, P5, DOI [10.5539/jmr.v9n5p126, DOI 10.5539/JMR.V9N5P126]
[2]   Soliton solutions of the nonlinear Schrodinger equation with the dual power law nonlinearity and resonant nonlinear Schrodinger equation and their modulation instability analysis [J].
Ali, Asghar ;
Seadawy, Aly R. ;
Lu, Dianchen .
OPTIK, 2017, 145 :79-88
[3]   Travelling wave solutions of Drinfel'd-Sokolov-Wilson, Whitham-Broer-Kaup and (2+1)-dimensional Broer-Kaup-Kupershmit equations and their applications [J].
Arshad, M. ;
Seadawy, A. R. ;
Lu, Dianchen ;
Wang, Jun .
CHINESE JOURNAL OF PHYSICS, 2017, 55 (03) :780-797
[4]   Exact bright-dark solitary wave solutions of the higher-order cubic-quintic nonlinear Schrodinger equation and its stability [J].
Arshad, M. ;
Seadawy, Aly R. ;
Lu, Dianchen .
OPTIK, 2017, 138 :40-49
[5]   Travelling wave solutions of generalized coupled Zakharov-Kuznetsov and dispersive long wave equations [J].
Arshad, M. ;
Seadawy, Aly ;
Lu, Dianchen ;
Wang, Jun .
RESULTS IN PHYSICS, 2016, 6 :1136-1145
[6]   Applications of a simplified bilinear method to ion-acoustic solitary waves in plasma [J].
Awawdeh, Fadi ;
Jaradat, H. M. ;
Al-Shara, S. .
EUROPEAN PHYSICAL JOURNAL D, 2012, 66 (02)
[7]   VARIOUS TURBULENCES IN ION-ACOUSTIC SOLITARY WAVES IN PLASMAS [J].
DAS, GC ;
SEN, KM .
PLANETARY AND SPACE SCIENCE, 1994, 42 (01) :41-46
[8]   K-DV SOLITONS AND CORRESPONDING DOUBLE-LAYER PHENOMENA IN A PLASMA WITH MULTIPLE ELECTRON-TEMPERATURES [J].
DAS, GC ;
SEN, KM .
CONTRIBUTIONS TO PLASMA PHYSICS, 1991, 31 (06) :647-657
[9]   New exact solutions for the variable coefficient modified KdV equation using direct reduction method [J].
El-Shiekh, Rehab M. .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2013, 36 (01) :1-4
[10]   ANALYTICAL SOLUTIONS OF LINEAR DIFFUSION AND WAVE EQUATIONS IN SEMI-INFINITE DOMAINS BY USING A NEW INTEGRAL TRANSFORM [J].
Gao, Lin ;
Cai, Chengzheng ;
Hou, Peng .
THERMAL SCIENCE, 2017, 21 :S71-S78