Soliton solutions to the Boussinesq equation through sine-Gordon method and Kudryashov method

被引：226

作者：

Akbar, M. Ali ^{[1
]}

Akinyemi, Lanre ^{[2
]}

Yao, Shao-Wen ^{[3
]}

Jhangeer, Adil ^{[4
]}

Rezazadeh, Hadi ^{[5
]}

Khater, Mostafa M. A. ^{[6
,7
]}

Ahmad, Hijaz ^{[8
]}

Inc, Mustafa ^{[9
,10
,11
]}

机构：

[1] Univ Rajshahi, Dept Appl Math, Rajshahi, Bangladesh

[2] Prairie View A&M Univ, Dept Math, Prairie View, TX USA

[3] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Henan, Peoples R China

[4] Namal Inst, Dept Math, Talagang Rd, Mianwali 42250, Pakistan

[5] Amol Univ Special Modern Technol, Fac Engn Technol, Amol, Iran

[6] Jiangsu Univ, Fac Sci, Dept Math, Zhenjiang 212013, Jiangsu, Peoples R China

[7] Obour High Inst Engn & Technol, Dept Math, Cairo 11828, Egypt

[8] Int Telemat Univ Uninettuno, Sect Math, Corso Vittorio,Emanuele II 39, I-00186 Rome, Italy

[9] Biruni Univ, Dept Comp Engn, Istanbul, Turkey

[10] Firat Univ, Sci Fac, Dept Math, TR-23119 Elazig, Turkey

[11] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

来源：

RESULTS IN PHYSICS | 2021年 / 25卷

基金：

中国国家自然科学基金;

关键词：

The Boussinesq equation; The SGE method; The GK method; Soliton solutions; TRAVELING-WAVE SOLUTIONS; LUMP;

D O I：

10.1016/j.rinp.2021.104228

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The Boussinesq equation simulates weakly nonlinear and long wave approximation that can be used in water waves, coastal engineering, and numerical models for water wave simulation in harbors and shallow seas. In this article, the sine-Gordon expansion (SGE) approach and the generalized Kudryashov (GK) scheme are used to establish broad-spectral solutions including unknown parameters and typical analytical solutions are recovered as a special case. The well-known bell-shape soliton, kink, singular kink, compacton, contracted bell-shape soliton, periodic soliton, anti-bell shape soliton, and other shape solitons are retrieved for the definite value of these constraints. The 3D and contour plots of some of the results obtained are sketched by assigning individual values of the parameter and analyzed the dynamical behavior of the waves. Furthermore, the compatibility of the two approaches has been compared and examined the efficiency to ascertain soliton solutions.

引用

页数：10

共 42 条

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