Obtaining exact solutions of nonlinear partial differential equations via two different methods

被引：19

作者：

Akbulut, Arzu ^{[1
]}

Islam, S. M. Rayhanul ^{[2
]}

Rezazadeh, Hadi ^{[3
]}

Tascan, Filiz ^{[1
]}

机构：

[1] Eskisehir Osmangazi Univ, Art Sci Fac, Dept Math & Comp, Eskisehir, Turkey

[2] Pabna Univ Sci & Technol, Dept Math, Pabna, Bangladesh

[3] Amol Univ Special Modern Technol, Cent Fac Technol, Amol, Iran

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2022年 / 36卷 / 05期

关键词：

Exact solutions; soliton solutions; symbolic computation; partial differential equation; TRAVELING-WAVE SOLUTIONS; SAWADA-KOTERA-ITO; BENJAMIN-BONA-MAHONY; CONSERVATION-LAWS; SOLITON-SOLUTIONS; MODEL;

D O I：

10.1142/S0217979222500412

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

In this paper, we obtained the exact solutions of the (1 + 1)-dimensional nonlinear dispersive modified Benjamin-Bona-Mahony (DMBBM) and the seventh-order Sawada- Kotera-Ito (S-K Ito) equations with the help of the (w/g)-expansion method specially the (g'/g(2))-expansion and (g')-expansion methods. Soliton solutions found for the given equations are in the form of hyperbolic, trigonometric and rational solutions. All obtained solutions were checked. 3D and 2D graphs of some solutions were given and discussed.

引用

页数：16

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