Explicit solutions of the generalized Kudryashov's equation with truncated M-fractional derivative.
Sci Rep
; 14(1): 21714, 2024 Sep 17.
Article
in En
| MEDLINE
| ID: mdl-39289392
ABSTRACT
The main purpose of this article is to study the generalized Kudryashov's equation with truncated M-fractional derivative, which is commonly used to describe the propagation of wide pulses in nonlinear optical fibers. By employing the complete discriminant system of fourth-order polynomials, various types of explicit solutions are systematically classified, which include periodic solutions, the trigonometric functions, the double-period solutions, and the elliptic function solutions. Additionally, a series of 2D, 3D, and contour plots are generated to visually depict the spatial distribution and evolution of various solutions. This not only advances the development of nonlinear equations in theory but also provides valuable guidance in practical applications.
Full text:
1
Collection:
01-internacional
Database:
MEDLINE
Language:
En
Journal:
Sci Rep
Year:
2024
Document type:
Article
Country of publication:
Reino Unido