Construction of breather solutions and N-soliton for the higher order dimensional Caudrey-Dodd-Gibbon-Sawada-Kotera equation arising from wave patterns

被引：4
作者：
Ismael, Hajar F. [1 ,2 ]
Seadawy, Aly [3 ]
Bulut, Hasan [2 ]
机构：
[1] Univ Zakho, Fac Sci, Dept Math, Zakho, Iraq
[2] Firat Univ, Fac Sci, Dept Math, Elazig, Turkey
[3] Taibah Univ, Fac Sci, Al Madinah Al Munawarah, Saudi Arabia
来源：
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2023年 / 24卷 / 01期
关键词：
breather solutions; Caudrey-Dodd-Gibbon-Sawada-Kotera equation; Hirota bilinear form; N-soliton solutions; NONLINEAR SCHRODINGER-EQUATION; KLEIN-GORDON EQUATIONS; WHITHAM-BROER-KAUP; OPTICAL SOLITONS; BACKLUND TRANSFORMATION; STABILITY; BRIGHT;
D O I：
10.1515/ijnsns-2020-0169
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this research, we explore the dynamics of Caudrey-Dodd-Gibbon-Sawada-Kotera equations in (1 + 1)-dimension, such as N-soliton, and breather solutions. First, a logarithmic variable transform based on the Hirota bilinear method is defined, and then one, two, three and N-soliton solutions are constructed. A breather solution to the equation is also retrieved via N-soliton solutions. All the solutions that have been obtained are novel and plugged into the equation to guarantee their existence. 2-D, 3-D, contour plot and density plot are also presented.
引用
收藏
页码：319 / 327
页数：9
相关论文
共 49 条
[1]   Some Novel Solutions of the Coupled Whitham-Broer-Kaup Equations [J].
Abdulkareem, Hezha H. ;
Ismael, Hajar F. ;
Panakhov, Etibar Sadi ;
Bulut, Hasan .
4TH INTERNATIONAL CONFERENCE ON COMPUTATIONAL MATHEMATICS AND ENGINEERING SCIENCES (CMES-2019), 2020, 1111 :200-208
[2]   SOLITONS AND DISCRETE EIGENFUNCTIONS OF THE RECURSION OPERATOR OF NONLINEAR EVOLUTION-EQUATIONS .1. THE CAUDREY-DODD-GIBBON-SAWADA-KOTERA EQUATION [J].
AIYER, RN ;
FUCHSSTEINER, B ;
OEVEL, W .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (18) :3755-3770
[3]   Soliton solutions of (2+1)-dimensional time-fractional Zoomeron equation [J].
Aksoy, Esin ;
Cevikel, Adem C. ;
Bekir, Ahmet .
OPTIK, 2016, 127 (17) :6933-6942
[4]   Sine-Cosine method for finding the soliton solutions of the generalized fifth-order nonlinear equation [J].
Al-Mdallal, Qasem M. ;
Syam, Muhammad I. .
CHAOS SOLITONS & FRACTALS, 2007, 33 (05) :1610-1617
[5]   Computational methods and traveling wave solutions for the fourth-order nonlinear Ablowitz-Kaup-Newell-Segur water wave dynamical equation via two methods and its applications [J].
Ali, Asghar ;
Seadawy, Aly R. ;
Lu, Dianchen .
OPEN PHYSICS, 2018, 16 (01) :219-226
[6]   Conserved quantities along with Painleve analysis and optical solitons for the nonlinear dynamics of Heisenberg ferromagnetic spin chains model [J].
Ali, I. ;
Seadawy, A. R. ;
Rizvi, S. T. R. ;
Younis, M. ;
Ali, K. .
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2020, 34 (30)
[7]   Propagation of dispersive wave solutions for (3+1)-dimensional nonlinear modified Zakharov-Kuznetsov equation in plasma physics [J].
Ali, Karmina K. ;
Seadawy, Aly R. ;
Yokus, Asif ;
Yilmazer, Resat ;
Bulut, Hasan .
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2020, 34 (25)
[8]   Analytical Solutions to the Coupled Boussinesq-Burgers Equations via Sine-Gordon Expansion Method [J].
Ali, Karmina K. ;
Yilmazer, Resat ;
Bulut, Hasan .
4TH INTERNATIONAL CONFERENCE ON COMPUTATIONAL MATHEMATICS AND ENGINEERING SCIENCES (CMES-2019), 2020, 1111 :233-240
[9]   Mathematical methods for a reliable treatment of the (2+1)-dimensional Zoomeron equation [J].
Marwan Alquran ;
Kamel Al-Khaled .
Mathematical Sciences, 2012, 6 (1)
[10]   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)
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