Explicit solutions to the Sharma-Tasso-Olver equation

被引：16

作者：

Abdou, Mohammed Aly ^{[1
,2
]}

Ouahid, Oubna ^{[1
]}

Owyed, Saud ^{[3
]}

Abdel-Baset, A. M. ^{[1
,4
]}

Inc, Mustafa ^{[5
,6
]}

Akinlar, Mehmet Ali ^{[7
]}

Chu, Yu-Ming ^{[8
,9
]}

机构：

[1] Univ Bisha, Coll Sci, Phys Dept, POB 344, Bisha 61922, Saudi Arabia

[2] Mansoura Univ, Fac Sci, Phys Dept, Theoret Res Grp, Mansoura 35516, Egypt

[3] Univ Bisha, Coll Sci, Math Dept, POB 344, Bisha 61922, Saudi Arabia

[4] Assiut Univ, Phys Dept, Assiut 71516, Egypt

[5] Firat Univ, Dept Math, Elazig, Turkey

[6] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

[7] Yildiz Tech Univ, Dept Math Engn, Istanbul, Turkey

[8] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China

[9] Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China

来源：

AIMS MATHEMATICS | 2020年 / 5卷 / 06期

关键词：

extended F-expansion; new sub-equations; generalized Kudryashov expansion method; Sharma-Tasso-Olver equation; PERIODIC-WAVE SOLUTIONS; F-EXPANSION METHOD; DIFFERENTIAL-EQUATIONS; NONLINEAR EQUATIONS; SOLITONS; BALANCE;

D O I：

10.3934/math.2020465

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present new exact traveling wave solutions of generalized Sharma-Tasso-Olver (STO) with variable coefficients using three different methods, namely the extended F-expansion, the new sub-equations, and generalized Kudryashov expansion. We obtain new solutions with the form of solitons, triangular and rational functions. Computational results indicate that these methods are very useful and easily applicable for solving diverse types of differential equations in nonlinear science.

引用

页码：7272 / 7284

页数：13

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