Approximate symmetry and exact solutions of the perturbed nonlinear Klein-Gordon equation

被引：0

作者：

Rahimian, Mohammad ^{[1
]}

Nadjafikhah, Mehdi ^{[2
]}

机构：

[1] Islamic Azad Univ, Dept Math, Masjed Soleiman Branch, Masjed Soleiman, Iran

[2] Iran Univ Sci & Technol, Sch Math, Dept Pure Math, Tehran 1684613114, Iran

来源：

COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS | 2019年 / 7卷 / 02期

关键词：

Perturbed Klein-Gordon equation; Exact solutions; Approximate symmetry; Approximate invariant solutions;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the Lie approximate symmetry analysis is applied to investigate new exact solutions of the perturbed nonlinear Klein-Gordon equation. The nonlinear Klein-Gordon equation is used to model many nonlinear phenomena. The tanh-coth method, is employed to solve some of the obtained reduced ordinary differential equations. We construct new analytical solutions with small parameter which is effectively obtained by the proposed method.

引用

页码：266 / 275

页数：10

共 50 条

[21] Bound-state solutions of the Klein-Gordon equation for the generalized PT-symmetric Hulthen potential
Egrifes, Harun
Sever, Ramazan
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2007, 46 (04) : 935 - 950
[22] Bound states of the Klein-Gordon equation in the presence of short range potentials
Villalba, VM
Rojas, C
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2006, 21 (02): : 313 - 325
[23] Exact solutions for the perturbed nonlinear Schrodinger equation with power law nonlinearity and Hamiltonian perturbed terms
Zayed, Elsayed M. E.
Al-Nowehy, Abdul-Ghani
OPTIK, 2017, 139 : 123 - 144
[24] Bound-State Solutions of the Klein-Gordon Equation for the Generalized PT-Symmetric Hulthén Potential
Harun Egrifes
Ramazan Sever
International Journal of Theoretical Physics, 2007, 46 : 935 - 950
[25] Lie Symmetry Analysis and Exact Solutions to the Quintic Nonlinear Beam Equation
Sripana, N.
Chatanin, W.
MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES, 2016, 10 (01): : 61 - 68
[26] Exact solutions of the generalized Sinh–Gordon equation
A. Neirameh
Computational Mathematics and Mathematical Physics, 2016, 56 : 1336 - 1342
[27] Analytical solutions of nonlinear Klein–Gordon equation using the improved F-expansion method
Md. Shafiqul Islam
M. Ali Akbar
Kamruzzaman Khan
Optical and Quantum Electronics, 2018, 50
[28] Symmetry Analysis, Nonlinearly Self-adjoint and Conservation Laws of a Generalized (2+1)-dimensional Klein-Gordon Equation
Magalakwe, G.
Muatjetjeja, B.
Khalique, C. M.
MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES, 2019, 13 (02): : 123 - 138
[29] A comparative study of approximate symmetry and approximate homotopy symmetry to a class of perturbed nonlinear wave equations
Zhang, Zhiyong
Chen, Yufu
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (13) : 4300 - 4318
[30] Exact solutions of non-linear Klein–Gordon equation with non-constant coefficients through the trial equation method
Jorge E. Macías-Díaz
María G. Medina-Guevara
Héctor Vargas-Rodríguez
Journal of Mathematical Chemistry, 2021, 59 : 827 - 839

← 1 2 3 4 5 →