scholarly journals Generalized dressing method for nonlinear evolution equations describing partially coherent wave propagation in noninstantaneous Kerr media

2011 ◽  
Vol 84 (5) ◽  
Author(s):  
T. Hansson ◽  
M. Lisak ◽  
D. Anderson
Keyword(s):  
Wave Propagation ◽  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Nonlinear Evolution Equations ◽  
Dressing Method ◽  
Kerr Media ◽  
Partially Coherent ◽  
Coherent Wave

Mathematical basis for analysis of partially coherent wave propagation in nonlinear, non-instantaneous, Kerr media

2008 ◽  
Vol 41 (33) ◽  
pp. 335207 ◽  
Author(s):  
V Semenov ◽  
M Lisak ◽  
D Anderson ◽  
T Hansson ◽  
L Helczynski-Wolf ◽  
...  
Keyword(s):  
Wave Propagation ◽  
Mathematical Basis ◽  
Kerr Media ◽  
Partially Coherent ◽  
Coherent Wave

Traveling wave solutions for the Couple Boiti-Leon-Pempinelli System by using extended Jacobian elliptic function expansion method

2015 ◽  
Vol 11 (3) ◽  
pp. 3134-3138 ◽  
Author(s):  
Mostafa Khater ◽  
Mahmoud A.E. Abdelrahman
Keyword(s):  
Elliptic Function ◽  
Traveling Wave ◽  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Traveling Wave Solutions ◽  
Expansion Method ◽  
Mathematical Physics ◽  
Nonlinear Evolution Equations ◽  
Jacobian Elliptic Function ◽  
Function Expansion

In this work, an extended Jacobian elliptic function expansion method is pro-posed for constructing the exact solutions of nonlinear evolution equations. The validity and reliability of the method are tested by its applications to the Couple Boiti-Leon-Pempinelli System which plays an important role in mathematical physics.

scholarly journals The unified method for abundant soliton solutions of local time fractional nonlinear evolution equations

2021 ◽  
Vol 22 ◽  
pp. 103979
Author(s):  
Nauman Raza ◽  
Muhammad Hamza Rafiq ◽  
Melike Kaplan ◽  
Sunil Kumar ◽  
Yu-Ming Chu
Keyword(s):  
Local Time ◽  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Soliton Solutions ◽  
Nonlinear Evolution Equations ◽  
The Unified Method ◽  
Unified Method
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