ELLIPTIC FUNCTION SOLUTIONS FOR SOME NONLINEAR PDES IN MATHEMATICAL PHYSICS

被引：0

作者：

Gurefe, Yusuf ^{[1
]}

Pandir, Yusuf ^{[2
]}

Akturk, Tolga ^{[3
]}

Bulut, Hasan ^{[3
]}

机构：

[1] Usak Univ, Fac Econ & Adm Sci, Dept Econometr, TR-64200 Usak, Turkey

[2] Bozok Univ, Fac Sci & Arts, Dept Math, TR-66100 Yozgat, Turkey

[3] Firat Univ, Fac Sci, Dept Math, TR-23100 Elazig, Turkey

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2017年 / 7卷 / 01期

关键词：

Extended trial equation method; generalized regularized long wave; generalized Klein-Gordon equation; soliton solutions; elliptic solutions; TRIAL EQUATION METHOD; PARTIAL-DIFFERENTIAL-EQUATIONS; EXP-FUNCTION METHOD; EVOLUTION-EQUATIONS; PERIODIC-SOLUTIONS; BURGERS-EQUATION; WAVE SOLUTIONS; SOLITONS; SYSTEM;

D O I：

10.11948/2017024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we have constructed various types of soliton solutions of the generalized regularized long wave and generalized nonlinear Klein Gordon equations by the using of the extended trial equation method. Some of the obtained exact traveling wave solutions to these nonlinear problems are the rational function, 1-soliton, singular, the elliptic integral functions F, E, Pi and the Jacobi elliptic function sn solutions. Also, all of the solutions are compared with the exact solutions in literature, and it is seen that some of the solutions computed in this paper are new wave solutions.

引用

页码：372 / 391

页数：20

共 50 条

[31] Exact Solutions of Nonlinear Equations in Mathematical Physics via Negative Power Expansion Method
Xu, Bo
Zhang, Sheng
JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY, 2021, 17 (03) : 369 - 387
[32] TRAVELLING WAVE SOLUTIONS TO SOME IMPORTANT EQUATIONS OF MATHEMATICAL PHYSICS
Khater, A. H.
Hassan, M. M.
Callebaut, D. K.
REPORTS ON MATHEMATICAL PHYSICS, 2010, 66 (01) : 1 - 19
[33] Solutions of nonlinear PDEs in the sense of averages
Kawohl, Bernd
Manfredi, Juan
Parviainen, Mikko
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2012, 97 (02): : 173 - 188
[34] Soliton solutions of nonlinear fractional differential equations with their applications in mathematical physics
Cevikel, A. C.
Aksoy, E.
REVISTA MEXICANA DE FISICA, 2021, 67 (03) : 422 - 428
[35] Boundary regularity for viscosity solutions to degenerate elliptic PDEs
Gripenberg, G.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 352 (01) : 175 - 183
[36] Searching for traveling wave solutions of nonlinear evolution equations in mathematical physics
Huang, Bo
Xie, Shaofen
ADVANCES IN DIFFERENCE EQUATIONS, 2018,
[37] Searching for traveling wave solutions of nonlinear evolution equations in mathematical physics
Bo Huang
Shaofen Xie
Advances in Difference Equations, 2018
[38] EXISTENCE OF BOUNDED SOLUTIONS TO SOME NONLINEAR DEGENERATE ELLIPTIC SYSTEMS
Leonetti, Francesco
Petricca, Pier Vincenzo
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2009, 11 (01): : 191 - 203
[39] Traveling-Wave Solutions of Several Nonlinear Mathematical Physics Equations
Popivanov, Petar
Slavova, Angela
MATHEMATICS, 2025, 13 (06)
[40] Self-controlled wave solutions to the Tzitzeica-type nonlinear models in mathematical physics
Akbar, M. Ali
Abdullah, Farah Aini
Gepreel, Khaled A.
RESULTS IN PHYSICS, 2022, 36

← 1 2 3 4 5 →