SITEM for the conformable space-time fractional Boussinesq and (2+1)-dimensional breaking soliton equations

被引：8

作者：

Yaslan, H. Cerdik ^{[1
]}

Girgin, Ayse ^{[1
]}

机构：

[1] Pamukkale Univ, Dept Math, TR-20070 Denizli, Turkey

来源：

JOURNAL OF OCEAN ENGINEERING AND SCIENCE | 2021年 / 6卷 / 03期

关键词：

Space-time fractional Boussinesq equation; (2+1)-dimensional breaking soliton equation; Simplified tan(phi(xi)/2)-expansion method (SITEM); Conformable derivative; NONLINEAR EVOLUTION-EQUATIONS; ZAKHAROV-KUZNETSOV EQUATION; TRAVELING-WAVE SOLUTIONS; ION-ACOUSTIC-WAVES; STABILITY ANALYSIS;

D O I：

10.1016/j.joes.2020.11.010

中图分类号：

U6 [水路运输]; P75 [海洋工程];

学科分类号：

0814 ; 081505 ; 0824 ; 082401 ;

摘要：

In the present paper, new analytical solutions for the space-time fractional Boussinesq and (2 + 1)-dimensional breaking soliton equations are obtained by using the simplified tan (phi(xi)/2)-expansion method. Here, fractional derivatives are defined in the conformable sense. To show the correctness of the obtained traveling wave solutions, residual error function is defined. It is observed that the new solutions are very close to the exact solutions. The solutions obtained by the presented method have not been reported in former literature. (C) 2020 Shanghai Jiaotong University. Published by Elsevier B.V.

引用

页码：228 / 236

页数：9

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