On some novel solution solutions to the generalized Schrodinger-Boussinesq equations for the interaction between complex short wave and real long wave envelope

被引:32
作者
Kumar, Dipankar [1 ]
Hosseini, Kamyar [2 ]
Kaabar, Mohammed K. A. [3 ]
Kaplan, Melike [4 ]
Salahshour, Soheil [5 ]
机构
[1] Bangabandhu Sheikh Mujibur Rahman Sci & Technol Un, Dept Math, Gopalganj 8100, Bangladesh
[2] Islamic Azad Univ, Dept Math, Rasht Branch, Rasht, Iran
[3] Univ Malaya, Inst Math Sci, Fac Sci, Kuala Lumpur 50603, Malaysia
[4] Kastamonu Univ, Art Sci Fac, Dept Math, Kastamonu, Turkey
[5] Bahcesehir Univ, Fac Engn & Nat Sci, Istanbul, Turkey
关键词
Generalized Schr?dinger-Boussinesq; equations; Sine -Gordon expansion method; Soliton solutions; MODIFIED KUDRYASHOV METHOD; KLEIN-GORDON EQUATIONS; OPTICAL SOLITONS; DIFFERENTIAL-EQUATIONS; CONSERVATION-LAWS; KDV;
D O I
10.1016/j.joes.2021.09.008
中图分类号
U6 [水路运输]; P75 [海洋工程];
学科分类号
0814 ; 081505 ; 0824 ; 082401 ;
摘要
This paper explores some novel solutions to the generalized Schrodinger-Boussinesq (gSBq) equations, which describe the interaction between complex short wave and real long wave envelope. In order to derive some novel complex hyperbolic and complex trigonometric function solutions, the sine-Gordon equation method (sGEM) is applied to the gSBq equations. Novel complex hyperbolic and trigonometric function solutions are expressed by the dark, bright, combo dark-bright, W-shaped, M-shaped, singular, combo singular, and periodic wave solutions. The accuracy of the explored solitons is examined under the back substitution to the corresponding equations via the symbolic computation software Maple. It is found from the back substitution outcomes that all soliton solutions satisfy the original equations. The proper significance of the explored outcomes is demonstrated by the three-dimensional (3D) and two-dimensional (2D) graphs, which are presented under the selection of particular values of the free parameters. All the combo-soliton ( W-shaped, M-shaped, and periodic wave) solutions are found to be new for the interaction between complex short wave and real long wave envelope in laser physics that show the novelty of the study. Moreover, the applied method provides an efficient tool for exploring novel soliton solutions, and it overcomes the complexities of the solitary wave ansatz method.(c) 2021 Shanghai Jiaotong University. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license ( http://creativecommons.org/licenses/by-nc-nd/4.0/ )
引用
收藏
页码:353 / 362
页数:10
相关论文
共 67 条
[1]  
Ahmad I., 2021, J. Ocean Eng. Sci., DOI [10.1016/j.joes.2021.08.014, DOI 10.1016/J.JOES.2021.08.014]
[2]   Analytical and approximate solutions of nonlinear Schrodinger equation with higher dimension in the anomalous dispersion regime [J].
Akinyemi, Lanre ;
Senol, Mehmet ;
Osman, M. S. .
JOURNAL OF OCEAN ENGINEERING AND SCIENCE, 2022, 7 (02) :143-154
[3]   Novel dynamical solitons for the evolution of Schrodinger-Hirota equation in optical fibres [J].
Al Qarni, A. A. ;
Alshaery, A. A. ;
Bakodah, H. O. ;
Gomez-Aguilar, J. F. .
OPTICAL AND QUANTUM ELECTRONICS, 2021, 53 (03)
[4]   Optical solitons in multiple-core couplers with the nearest neighbors linear coupling [J].
Al Qurashi, Maysaa Mohamed ;
Ates, Esma ;
Inc, Mustafa .
OPTIK, 2017, 142 :343-353
[5]   Exact traveling wave solutions to higher order nonlinear equations [J].
Alam, Md Nur ;
Li, Xin .
JOURNAL OF OCEAN ENGINEERING AND SCIENCE, 2019, 4 (03) :276-288
[6]   Soliton solutions of NLSE with quadratic-cubic nonlinearity and stability analysis [J].
Aslan, Ebru Cavlak ;
Inc, Mustafa .
WAVES IN RANDOM AND COMPLEX MEDIA, 2017, 27 (04) :594-601
[7]   Travelling wave solutions of generalized Klein-Gordon equations using Jacobi elliptic functions [J].
Ates, Esma ;
Inc, Mustafa .
NONLINEAR DYNAMICS, 2017, 88 (03) :2281-2290
[8]   Monotone Iterative Method for ψ-Caputo Fractional Differential Equation with Nonlinear Boundary Conditions [J].
Baitiche, Zidane ;
Derbazi, Choukri ;
Alzabut, Jehad ;
Samei, Mohammad Esmael ;
Kaabar, Mohammed K. A. ;
Siri, Zailan .
FRACTAL AND FRACTIONAL, 2021, 5 (03)
[9]   Analysis of fractional-order Schrodinger-Boussinesq and generalized Zakharov equations using efficient method [J].
Benli, Fatma Berna .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (07) :6178-6194
[10]   Application of the extended simplest equation method to the coupled Schrodinger-Boussinesq equation [J].
Bilige, Sudao ;
Chaolu, Temuer ;
Wang, Xiaomin .
APPLIED MATHEMATICS AND COMPUTATION, 2013, 224 :517-523