scholarly journals Closed form wave solutions of two nonlinear evolution equations

2017 ◽  
Vol 4 (1) ◽  
pp. 1396948 ◽  
Author(s):  
A.K.M. Kazi Sazzad Hossain ◽  
M. Ali Akbar ◽  
Md. Abul Kalam Azad ◽  
Bernardo Spagnolo
Keyword(s):  
Closed Form ◽  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Nonlinear Evolution Equations ◽  
Wave Solutions

Explicit, periodic and dispersive soliton solutions to the conformable time-fractional Wu–Zhang system

2021 ◽  
pp. 2150417
Author(s):  
Kalim U. Tariq ◽  
Mostafa M. A. Khater ◽  
Muhammad Younis
Keyword(s):  
Fractional Derivative ◽  
Traveling Wave ◽  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Soliton Solutions ◽  
Traveling Wave Solutions ◽  
Nonlinear Evolution Equations ◽  
Conformable Fractional Derivative ◽  
Physical Behavior ◽  
Wave Solutions

In this paper, some new traveling wave solutions to the conformable time-fractional Wu–Zhang system are constructed with the help of the extended Fan sub-equation method. The conformable fractional derivative is employed to transform the fractional form of the system into ordinary differential system with an integer order. Some distinct types of figures are sketched to illustrate the physical behavior of the obtained solutions. The power and effective of the used method is shown and its ability for applying different forms of nonlinear evolution equations is also verified.

The Periodic Wave Solutions for Two Nonlinear Evolution Equations

2003 ◽  
Vol 40 (2) ◽  
pp. 129-132 ◽  
Author(s):  
Zhang Jin-Liang ◽  
Wang Ming-Liang ◽  
Cheng Dong-Ming ◽  
Fang Zong-De
Keyword(s):  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Periodic Wave ◽  
Nonlinear Evolution Equations ◽  
Periodic Wave Solutions ◽  
Wave Solutions
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