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

来源：

OPTICAL AND QUANTUM ELECTRONICS | 2023年 / 55卷 / 08期

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

页数：11

共 54 条

[1]

Abdeljabbar A., 2021, PARTIAL DIFFER EQU A, V3, P100022, DOI 10.1016/j.padiff.2021.100022

[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] 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

[4]

Akbulut A, 2022, International Journal of Applied and Computational Mathematics, V8, DOI [10.1007/s40819-022-01350-0, 10.1007/s40819-022-01350-0, DOI 10.1007/S40819-022-01350-0]

[5] N1-soliton solution for Schrodinger equation with competing weakly nonlocal and parabolic law nonlinearities [J].