Multiple exp-function method for soliton solutions of nonlinear evolution equations

被引：34

作者：

Yildirim, Yakup ^{[1
]}

Yasar, Emrullah ^{[1
]}

机构：

[1] Uludag Univ, Fac Arts & Sci, Dept Math, TR-16059 Bursa, Turkey

来源：

CHINESE PHYSICS B | 2017年 / 26卷 / 07期

关键词：

(2+1)-dimensional Sawada-Kotera (SK) equation; (3+1)-dimensional nonlinear evolution equation (NLEE); multiple exp-function method; multiple wave solutions; (2+1)-DIMENSIONAL SAWADA-KOTERA; BACKLUND TRANSFORMATION; FUNCTION ALGORITHM; WAVE-EQUATIONS; TANH METHOD; FORM;

D O I：

10.1088/1674-1056/26/7/070201

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We applied the multiple exp-function scheme to the (2+1)-dimensional Sawada-Kotera (SK) equation and (3+1)-dimensional nonlinear evolution equation and analytic particular solutions have been deduced. The analytic particular solutions contain one-soliton, two-soliton, and three-soliton type solutions. With the assistance of Maple, we demonstrated the efficiency and advantages of the procedure that generalizes Hirota's perturbation scheme. The obtained solutions can be used as a benchmark for numerical solutions and describe the physical phenomena behind the model.

引用

页数：7

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