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.
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页码：372 / 391
页数：20
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