scholarly journals New type of exact solitary wave solutions for dispersive long-wave equation and Benjamin equation

2006 ◽  
Vol 55 (7) ◽  
pp. 3246
Author(s):  
Taogetusang ◽  
Sirendaoreji
Keyword(s):  
Wave Equation ◽  
Solitary Wave ◽  
Solitary Wave Solutions ◽  
Wave Solutions ◽  
Long Wave ◽  
New Type ◽  
Benjamin Equation

scholarly journals On the wave solutions to the TRLW equation

2018 ◽  
Vol 22 ◽  
pp. 01033
Author(s):  
Tukur Abdulkadir Sulaiman ◽  
Canan Unlu ◽  
Hasan Bulut
Keyword(s):  
Wave Equation ◽  
Solitary Wave ◽  
Nonlinear Models ◽  
Soliton Solutions ◽  
Solitary Wave Solutions ◽  
Wave Solutions ◽  
Long Wave ◽  
Regularized Long Wave Equation ◽  
2D And 3D ◽  
Singular Soliton

In this study, a nonlinear model is investigated, namely; the time regularized long wave equation. Various solitary wave solutions are constructed such as the non-topological, compound topological-non-topological bell-type, singular and compound singular soliton solutions. Under the choice of suitable parameters values, the 2D and 3D graphs to all the obtained solutions are plotted. The reported results in this study may be helpful in explaining the physical meanings of some important nonlinear models arising in the field of nonlinear science.

scholarly journals Traveling solitary wave solutions for the symmetric regularized long-wave equation

2015 ◽  
Vol 11 (8) ◽  
pp. 5520-5528
Author(s):  
Mostafa Khater ◽  
Mahmoud AE Abdelrahman
Keyword(s):  
Wave Equation ◽  
Solitary Wave ◽  
Traveling Wave ◽  
Function Method ◽  
Traveling Wave Solutions ◽  
Solitary Wave Solutions ◽  
Exact Traveling Wave Solutions ◽  
Wave Solutions ◽  
Long Wave ◽  
Regularized Long Wave Equation

In this paper, we employ the extended tanh function method to nd the exact traveling wave solutions involving parameters of the symmetric regularized long- wave equation. When these parameters are taken to be special values, the solitary wave solutions are derived from the exact traveling wave solutions. These studies reveal that the symmetric regularized long-wave equation has a rich varietyof solutions.

Sign in / Sign up

Export Citation Format

Share Document