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

• Published in: Chinese physics B Vol. 26; no. 7; pp. 20 - 26
• Main Author: Yakup Yildirim Emrullah Yasar
• Format: Journal Article
• Language: English
• Published: Chinese Physical Society and IOP Publishing Ltd 01.06.2017
• Subjects: (2+1)-dimensional Sawada-Kotera (SK) equation; (3+1)-dimensional nonlinear evolution equation (NLEE); multiple exp-function method; multiple wave solutions; 函数法; 多重; 孤子解; 指数函数; 描述模型; 数值解; 物理现象; 非线性发展方程
• ISSN: 1674-1056; 2058-3834
• DOI: 10.1088/1674-1056/26/7/070201

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.