Reply to "Comment on `New exact solutions of the classical sine-Gordon equation in 2+1 and 3+1 dimensions"'

1981 ◽  
Vol 23 (10) ◽  
pp. 2484-2485
Author(s):  
George Leibbrandt
Keyword(s):  
Exact Solutions ◽  
Gordon Equation ◽  
Sine Gordon Equation ◽  
New Exact Solutions

scholarly journals On The Exact Solutions to Conformable Time Fractional Equations in EW Family Using Sine-Gordon Equation Approach

2017 ◽  
Author(s):  
Alper Korkmaz ◽  
Ozlem Ersoy Hepson ◽  
Kamyar Hosseini ◽  
Hadi Rezazadeh ◽  
Mostafa Eslami
Keyword(s):  
Exact Solutions ◽  
Traveling Wave ◽  
Gordon Equation ◽  
Solution Procedure ◽  
Equation Approach ◽  
Sine Gordon Equation ◽  
Hyperbolic Functions ◽  
Fractional Equations ◽  
New Exact Solutions ◽  
Homogeneous Balance

New exact solutions to conformable time fractional EW and modified EW equations are constructed by using Sine-Gordon expansion approach. The fractional traveling wave transform and homogeneous balance have significant roles in the solution procedure. The predicted solution is of the form of some finite series of multiplication of powers of cos and sin functions. The relation among trigonometric and hyperbolic functions in sense of Sine-Gordon expansion gives opportunity to construct the solutions in terms of hyperbolic functions.

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