New wave solutions, exact and numerical approximations to the nonlinear Klein-Gordon equation

被引：2

作者：

Partohaghighi, Mohammad ^{[1
]}

Sulaiman, Tukur A. ^{[2
,3
,4
]}

Yusuf, Abdullahi ^{[2
,3
,4
]}

Inc, Mustafa ^{[5
,6
]}

Bayram, Mustafa ^{[2
]}

机构：

[1] Clarkson Univ, Dept Math, Potsdam, NY 13699 USA

[2] Biruni Univ, Dept Comp Engn, Istanbul, Turkiye

[3] Lebanese Amer Univ, Dept Comp Sci & Math, Beirut, Lebanon

[4] Fed Univ Dutse, Dept Math, Jigawa, Nigeria

[5] Firat Univ, Dept Math, Elazig, Turkiye

[6] China Med Univ, Dept Med Res, Taichung 40402, Taiwan

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2023年 / 37卷 / 20期

关键词：

ShGEEM; extended rational sine-cosine; sinh-cosh; KGE; Group preserving scheme; Fictitious time integration method (FTIM); (G'/G)-EXPANSION METHOD; SINE-COSINE; SOLITONS; SOLVE;

D O I：

10.1142/S0217979223502004

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

This study investigates the nonlinear Klein-Gordon equation (KGE). We successfully construct some new topological kink-type, non-topological, singular solitons, periodic waves and singular periodic wave solutions to this nonlinear model by using the extended ShGEEM, rational sine-cosine extended (ERSC), and sinh-cosh (ERSCh) methods. In addition, a numerical method for solving the KGE is described in this paper. We use a combination of two numerical techniques called fictitious time integration method and the group preserving scheme (GPS). Fictitious time integration method converts the main equation into a new problem then the GPS is used to gain the numerical solutions. Few experiments are provided to successfully demonstrate the correctness of the approach.

引用

页数：19

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