Heart-cusp and bell-shaped-cusp optical solitons for an extended two-mode version of the complex Hirota model: application in optics

被引:57
作者
Alquran, Marwan [1 ]
Jaradat, Imad [1 ]
Yusuf, Abdullahi [2 ,3 ]
Sulaiman, Tukur Abdulkadir [2 ,3 ]
机构
[1] Jordan Univ Sci & Technol, Dept Math & Stat, Irbid 22110, Jordan
[2] Biruni Univ, Dept Comp Engn, Istanbul, Turkey
[3] Fed Univ Dutse, Dept Math, Dutse, Jigawa, Nigeria
关键词
Heart-cusp; Bell-shaped-cusp; Solitary wave solutions; Complex Hirota model; Extended tanh-coth expansion method; Polynomial-function method; 26A33; 35F25; 35C10; TRAVELING-WAVE SOLUTIONS; KDV EQUATIONS;
D O I
10.1007/s11082-020-02674-1
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In this work, we present a new two-mode version to the complex Hirota equation. This new model arises in many applications in the field of optics, communications and other engineering sciences. It describes the propagation of two-symmetric solitary waves moving simultaneously with dependent phase-velocity parameter. The extended tanh-coth expansion method and the polynomial-function method are used to extract novel new cusp-type solutions to the Hirota model. A comprehensive graphical analysis is conducted to show physical aspects of this new type of nonlinear equations. The findings of this work are from mathematical point of view and we propose some benefits regarding the concept of two-mode where it could be visualized and practically applied.
引用
收藏
页数:13
相关论文
共 38 条
[1]   New dual-mode Kadomtsev-Petviashvili model with strong-weak surface tension: analysis and application [J].
Abu Irwaq, Issam ;
Alquran, Marwan ;
Jaradat, Imad ;
Baleanu, Dumitru .
ADVANCES IN DIFFERENCE EQUATIONS, 2018,
[2]   HAAR WAVELETS SCHEME FOR SOLVING THE UNSTEADY GAS-FLOW IN 4-D [J].
Ali, Mohamed R. ;
Baleanu, Dumitru .
THERMAL SCIENCE, 2020, 24 (02) :1357-1367
[3]   New Exact Solutions of Nonlinear (3+1)-Dimensional Boiti-Leon-Manna-Pempinelli Equation [J].
Ali, Mohamed R. ;
Ma, Wen-Xiu .
ADVANCES IN MATHEMATICAL PHYSICS, 2019, 2019
[4]   Solution of fractional Volterra-Fredholm integro-differential equations under mixed boundary conditions by using the HOBW method [J].
Ali, Mohamed R. ;
Hadhoud, Adel R. ;
Srivastava, H. M. .
ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
[5]   Solution of Nonlinear Volterra Integral Equations with Weakly Singular Kernel by Using the HOBW Method [J].
Ali, Mohamed R. ;
Mousa, Mohamed M. ;
Ma, Wen-Xiu .
ADVANCES IN MATHEMATICAL PHYSICS, 2019, 2019
[6]   Development of spreading symmetric two-waves motion for a family of two-mode nonlinear equations [J].
Alquran, Marwan ;
Jaradat, Imad ;
Ali, Mohammed ;
Al-Ali, Nadeem ;
Momani, Shaher .
HELIYON, 2020, 6 (06)
[7]   The dynamics of new dual-mode Kawahara equation: interaction of dual-waves solutions and graphical analysis [J].
Alquran, Marwan ;
Jaradat, Imad ;
Ali, Mohammed ;
Baleanu, Dumitru .
PHYSICA SCRIPTA, 2020, 95 (04)
[8]   Multiplicative of dual-waves generated upon increasing the phase velocity parameter embedded in dual-mode Schrodinger with nonlinearity Kerr laws [J].
Alquran, Marwan ;
Jaradat, Imad .
NONLINEAR DYNAMICS, 2019, 96 (01) :115-121
[9]   Shapes and dynamics of dual-mode Hirota-Satsuma coupled KdV equations: Exact traveling wave solutions and analysis [J].
Alquran, Marwan ;
Jaradat, Imad ;
Baleanu, Dumitru .
CHINESE JOURNAL OF PHYSICS, 2019, 58 :49-56
[10]   Jacobi elliptic function solutions for a two-mode KdV equation [J].
Alquran, Marwan ;
Jarrah, Adnan .
JOURNAL OF KING SAUD UNIVERSITY SCIENCE, 2019, 31 (04) :485-489