Dispersive solitary wave solutions of nonlinear further modified Korteweg-de Vries dynamical equation in an unmagnetized dusty plasma

被引:50
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, Fac Sci, Dept Math, Al Madinah Al Munawarah, Saudi Arabia
[3] Beni Suef Univ, Fac Sci, Dept Math, Bani Suwayf, Egypt
关键词
Further modified Korteweg-de Vries equation; mathematical methods; unmagnetized dusty plasma; dust and ion solitary wave solutions; electrostatic potential and pressure; SCHRODINGER-EQUATION; STABILITY ANALYSIS; BURGERS EQUATION; HIGHER-ORDER; BRIGHT;
D O I
10.1142/S0217732318502176
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
In this work, we consider the propagation of one-dimensional nonlinear unmagnetized dusty plasma, by using the reductive perturbation technique to formulate the nonlinear mathematical model which is further modified Korteweg-de Vries (fmKdV) dynamical equation. We use the extend form of two methods, auxiliary equation mapping and direct algebraic methods, to investigate the families of dust and ion solitary wave solutions of one-dimensional nonlinear fmKdV. These new exact and solitary wave solutions, which represent the electrostatic potential and pressure for fmKdV, and also the graphical representation of electrostatic potential and pressure are shown with the aid of Mathematica.
引用
收藏
页数:19
相关论文
共 50 条
[41]   Mathematical methods and solitary wave solutions of three-dimensional Zakharov-Kuznetsov-Burgers equation in dusty plasma and its applications [J].
Abdullah ;
Seadawy, Aly R. ;
Jun, Wang .
RESULTS IN PHYSICS, 2017, 7 :4269-4277
[42]   Breather solutions and breather-to-soliton conversions for the (2+1)-dimensional complex modified Korteweg-de Vries and Maxwell-Bloch equations [J].
Hao, Hui-Qin ;
Jia, Rong-Rong .
OPTIK, 2020, 207
[43]   Construction of the numerical and analytical wave solutions of the Joseph-Egri dynamical equation for the long waves in nonlinear dispersive systems [J].
Alharbi, Abdulghani R. ;
Almatrafi, M. B. ;
Seadawy, Aly R. .
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2020, 34 (30)
[44]   Stability analysis and applications of traveling wave solutions of three-dimensional nonlinear modified Zakharov-Kuznetsov equation in a magnetized plasma [J].
Abdullah ;
Seadawy, Aly R. ;
Wang, Jun .
MODERN PHYSICS LETTERS A, 2018, 33 (25)
[45]   Modulation stability analysis and solitary wave solutions of nonlinear higher-order Schrodinger dynamical equation with second-order spatiotemporal dispersion [J].
Seadawy, Aly R. ;
Arshad, Muhammad ;
Lu, Dianchen .
INDIAN JOURNAL OF PHYSICS, 2019, 93 (08) :1041-1049
[46]   Travelling-wave solutions of a weakly nonlinear two-dimensional higher-order Kadomtsev-Petviashvili dynamical equation for dispersive shallow-water waves [J].
Seadawy, Aly R. .
EUROPEAN PHYSICAL JOURNAL PLUS, 2017, 132 (01)
[47]   Stability analysis, solitary wave and explicit power series solutions of a (2+1)-dimensional nonlinear Schrodinger equation in a multicomponent plasma [J].
Tian, Shou-Fu ;
Wang, Xiao-Fei ;
Zhang, Tian-Tian ;
Qiu, Wang-Hua .
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2021, 31 (05) :1732-1748
[48]   The higher-order nonlinear Schrodinger's dynamical equation with fourth-order dispersion and cubic-quintic nonlinearity via dispersive analytical soliton wave solutions [J].
Rabie, Wafaa B. ;
Ahmed, Hamdy M. ;
Seadawy, Aly R. ;
Althobaiti, Ali .
OPTICAL AND QUANTUM ELECTRONICS, 2021, 53 (12)
[49]   Optical soliton and bright-dark solitary wave solutions of nonlinear complex Kundu-Eckhaus dynamical equation of the ultra-short femtosecond pulses in an optical fiber [J].
Khater, Mostafa M. A. ;
Seadawy, Aly R. ;
Lu, Dianchen .
OPTICAL AND QUANTUM ELECTRONICS, 2018, 50 (03)
[50]   Elliptic function and solitary wave solutions of the higher-order nonlinear Schrodinger dynamical equation with fourth-order dispersion and cubic-quintic nonlinearity and its stability [J].
Arshad, M. ;
Seadawy, Aly R. ;
Lu, Dianchen .
EUROPEAN PHYSICAL JOURNAL PLUS, 2017, 132 (08)