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

[41] Symbolic computation of exact solutions expressible in hyperbolic and elliptic functions for nonlinear PDEs
Baldwin, D
Göktas, Ü
Hereman, W
Hong, L
Martino, RS
Miller, JC
JOURNAL OF SYMBOLIC COMPUTATION, 2004, 37 (06) : 669 - 705
[42] Critical conditions and finite energy solutions of several nonlinear elliptic PDEs in Rn
Lei, Yutian
JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 258 (11) : 4033 - 4061
[43] On the Existence Solutions for some Nonlinear Elliptic Problem
Benkirane, Abdelmoujib
El Haji, Badr
El Moumni, Mostafa
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2022, 40
[44] Regularity for solutions to some nonlinear elliptic systems
Leonetti, Francesco
Petricca, Pier Vincenzo
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2011, 56 (12) : 1099 - 1113
[45] Nodal solutions for some nonlinear elliptic equations
Ben Mabrouk, Anouar
Ben Mohamed, Mohamed Lakdar
APPLIED MATHEMATICS AND COMPUTATION, 2007, 186 (01) : 589 - 597
[46] Nontrivial solutions of some nonlinear elliptic problems
Musso, M
Passaseo, D
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1999, 24 (9-10) : 1655 - 1708
[47] EXISTENCE OF SOLUTIONS FOR SOME NONLINEAR ELLIPTIC EQUATIONS
Anane, Aomar
Chakrone, Omar
Chehabi, Mohammed
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2006,
[48] Asymptotics of solutions of some nonlinear elliptic systems
BidautVeron, MF
Raoux, T
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1996, 21 (7-8) : 1035 - 1086
[49] Solitary wave solutions of some nonlinear PDEs arising in electronics
Syed Tauseef Mohyud-Din
Amna Irshad
Optical and Quantum Electronics, 2017, 49
[50] Exact solutions to some nonlinear PDEs, travelling profiles method
Benhamidouche, Nouredin
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2008, (15) : 1 - 7

← 1 2 3 4 5 →