New auxiliary equation approach to derive solutions of fractional resonant Schrödinger equation

2021 ◽  
Vol 11 (4) ◽  
Author(s):  
Eric Tala-Tebue ◽  
Alper Korkmaz ◽  
Hadi Rezazadeh ◽  
Nauman Raza
1993 ◽  
Vol 47 (4) ◽  
pp. 1629-1639 ◽  
Author(s):  
John M. Cornwall ◽  
George Tiktopoulos

2009 ◽  
Vol 79 (3) ◽  
Author(s):  
Antun Balaž ◽  
Aleksandar Bogojević ◽  
Ivana Vidanović ◽  
Axel Pelster

2020 ◽  
Vol 34 (31) ◽  
pp. 2050301
Author(s):  
N. Cheemaa ◽  
S. Chen ◽  
A. R. Seadawy

In this article, we have discussed the analytical treatment of perturbed chiral nonlinear Schrödinger equation with the help of our newly developed method extended modified auxiliary equation mapping method (EMAEMM). By using this newly proposed technique we have found some quite general and new variety of exact traveling wave solutions, which are collecting some kind of semi half bright, dark, bright, semi half dark, doubly periodic, combined, periodic, half hark, and half bright via three parametric values, which is the primary key point of difference of our technique. These results are highly applicable to develop new theories of quantum mechanics, biomedical problems, soliton dynamics, plasma physics, nuclear physics, optical physics, fluid dynamics, biomedical problems, electromagnetism, industrial studies, mathematical physics, and in many other natural and physical sciences. For detailed physical dynamical representation of our results we have shown them with graphs in different dimensions using Mathematica 10.4 to get complete understanding in a more efficient manner to observe the behavior of different new dynamical shapes of solutions.


2019 ◽  
Vol 33 (18) ◽  
pp. 1950203 ◽  
Author(s):  
Aly R. Seadawy ◽  
Nadia Cheemaa

In this paper, we discussed analytically higher order dispersive extended nonlinear Schrödinger equation with the aid of newly developed technique named as extended modified auxiliary equation mapping method. As a result, we have found a variety of new families of exact traveling wave solutions including bright, dark, half-bright, half-dark, combined, periodic, doubly periodic, with the help of three parameters, which is the key importance of this method. For physical description of our newly obtained solutions, we have expressed them graphically using Mathematica 10.4 to explain more efficiently the behavior of different shapes of solutions.


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