Generating new symmetric bi-peakon and singular bi-periodic profile solutions to the generalized doubly dispersive equation

被引:31
作者
Alquran, Marwan [1 ]
Al Smadi, Tasnim [1 ]
机构
[1] Jordan Univ Sci & Technol, Dept Math & Stat, POB 3030, Irbid 22110, Jordan
关键词
Doubly dispersive equation; Rational sine-cosine; sinh-cosh functions; Unified method; SOLITARY WAVE SOLUTIONS; DIFFERENTIAL-EQUATIONS; EXPANSION METHOD; TANH METHOD;
D O I
10.1007/s11082-023-05035-w
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
This work aims to explore new bidirectional-wave solutions to the generalized doubly dispersive equation through the use of two effective integration schemes: the modified rational sine-cosine and sinh-cosh functions, and the unified method. The proposed model is a type of nonlinear partial differential equation that includes a second-order temporal derivative and exhibits the property of propagating wave solutions as symmetric binary waves in a like manner to the Boussinesq equation. The new solutions are derived in detail, and graphical representations are provided to illustrate their physical structures. The results of this study are valuable for enhancing our understanding of the generalized doubly dispersive equation, which has diverse practical applications.
引用
收藏
页数:11
相关论文
共 54 条
[1]  
Abdeljabbar A., 2021, PDE APPL MATH, V3, P100022
[2]   Travelling wave solutions for the doubly dispersive equation using improved modified extended tanh-function method [J].
Ahmed, Manar S. ;
Zaghrout, Afaf A. S. ;
Ahmed, Hamdy M. .
ALEXANDRIA ENGINEERING JOURNAL, 2022, 61 (10) :7987-7994
[3]  
Akbulut A., 2022, INT J APPL COMPUT MA, V8, P167, DOI [10.1007/s40819-022-01350-0, DOI 10.1007/S40819-022-01350-0]
[4]   A novel scheme for SMCH equation with two different approaches [J].
Akbulut, Arzu ;
Islam, S. M. Rayhanul ;
Arafat, S. M. Yasir ;
Tascan, Filiz .
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2023, 11 (02) :263-280
[5]   N1-soliton solution for Schrodinger equation with competing weakly nonlocal and parabolic law nonlinearities [J].
Al-Amr, Mohammed O. ;
Rezazadeh, Hadi ;
Ali, Khalid K. ;
Korkmazki, Alper .
COMMUNICATIONS IN THEORETICAL PHYSICS, 2020, 72 (06)
[6]   Extracted different types of optical lumps and breathers to the new generalized stochastic potential-KdV equation via using the Cole-Hopf transformation and Hirota bilinear method [J].
Alhami, Rahaf ;
Alquran, Marwan .
OPTICAL AND QUANTUM ELECTRONICS, 2022, 54 (09)
[7]  
Alquran M., 2012, Nonlinear Stud, V19, P555
[8]  
Alquran M., 2013, Nonlinear Stud, V20, P263
[10]   Convex-periodic, kink-periodic, peakon-soliton and kink bidirectional wave-solutions to new established two-mode generalization of Cahn-Allen equation [J].
Alquran, Marwan ;
Alhami, Rahaf .
RESULTS IN PHYSICS, 2022, 34