New singular wave solutions to the KdV‐Sawada‐Kotera‐Ramani equation by the modified simple equation method

2021 ◽  
Author(s):  
Chaodong Chen
Keyword(s):  
Simple Equation ◽  
Equation Method ◽  
Wave Solutions ◽  
Modified Simple Equation Method ◽  
Singular Wave

scholarly journals Assessment of the Exact Solutions of the Space and Time Fractional Benjamin-Bona-Mahony Equation via the G′/G-Expansion Method, Modified Simple Equation Method, and Liu’s Theorem

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Olusola Kolebaje ◽  
Oyebola Popoola
Keyword(s):  
Expansion Method ◽  
Travelling Wave ◽  
Simple Equation ◽  
Equation Method ◽  
Travelling Wave Solutions ◽  
Space And Time ◽  
Wave Solutions ◽  
Liouville Derivative ◽  
Modified Simple Equation Method ◽  
Bbm Equation

Exact travelling wave solutions to the space and time fractional Benjamin-Bona-Mahony (BBM) equation defined in the sense of Jumarie’s modified Riemann-Liouville derivative via the (G′/G) expansion and the modified simple equation methods are presented in this paper. A fractional complex transformation was applied to turn the fractional BBM equation into an equivalent integer order ordinary differential equation. New complex type travelling wave solutions to the space and time fractional BBM equation were obtained with Liu’s theorem. The modified simple equation method is not effective for constructing solutions to the fractional BBM equation.

Optical soliton perturbation with Gerdjikov–Ivanov equation by modified simple equation method

Optik ◽  
2018 ◽  
Vol 157 ◽  
pp. 1235-1240 ◽  
Author(s):  
Anjan Biswas ◽  
Yakup Yildirim ◽  
Emrullah Yasar ◽  
Houria Triki ◽  
Ali Saleh Alshomrani ◽  
...  
Keyword(s):  
Optical Soliton ◽  
Simple Equation ◽  
Equation Method ◽  
Soliton Perturbation ◽  
Modified Simple Equation Method
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