TY  - JOUR
T1  - Optical Soliton Solutions of a $(3+1)$-Dimensional Nonlinear Schrödinger Equation with Cubic-Quintic-Septic Nonlinearity
AU  - Uçar, Mehmet Fatih
PY  - 2025
DA  - September
Y2  - 2025
DO  - 10.36753/mathenot.1670727
JF  - Mathematical Sciences and Applications E-Notes
JO  - Math. Sci. Appl. E-Notes
PB  - Murat TOSUN
WT  - DergiPark
SN  - 2147-6268
SP  - 116
EP  - 125
VL  - 13
IS  - 3
LA  - en
AB  - In this paper, we studied the extended (3+1)-dimensional NLSE that has cubic-quintic-septic nonlinearity term. To obtain meaningful results, we first defined the wave transform and applied it to the NLSE. We then derived the ordinary differential equation (ODE). We gave brief information about the new Kudryashov method (nKM) and applied it to our problem. Finally, we solved the system using Maple. Using these solutions, we obtained a bright soliton and then illustrated the graphics and analyzed the effect of the parameters of the equation on the graph of such a soliton solution.
KW  - Optical soliton
KW  - Parameter effect
KW  - The new Kudryashov method
KW  - (3+1)-dimensional NLSE
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UR  - https://doi.org/10.36753/mathenot.1670727
L1  - https://dergipark.org.tr/en/download/article-file/4748559
ER  -