New Exact Solutions of the Davey-Stewartson Equation with Power-Law Nonlinearity

被引：21

作者：

Gurefe, Y. ^{[1
,2
]}

Misirli, E. ^{[3
]}

Pandir, Y. ^{[1
]}

Sonmezoglu, A. ^{[1
]}

Ekici, M. ^{[1
]}

机构：

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

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

[3] Ege Univ, Dept Math, Fac Sci, TR-35100 Izmir, Turkey

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2015年 / 38卷 / 03期

关键词：

Weierstrass transformation method; Trial equation method; Soliton solutions; TRAVELING-WAVE SOLUTIONS; EVOLUTION-EQUATIONS; PERIODIC-SOLUTIONS;

D O I：

10.1007/s40840-014-0075-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This work obtains the soliton solutions of the generalized Davey-Stewartson equation with the complex coefficients. First, the extended Weierstrass transformation method is used to carry out the solutions of this equation, and some new solutions, known as Weierstrass elliptic function solutions, are obtained by this method. Then, the trial equation method is used to obtain the soliton solutions of this equation.

引用

页码：1223 / 1234

页数：12

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