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Analytical solutions of nonlinear time fractional evaluation equations via unified method with different derivatives and their comparison
- Source :
- Results in Physics, Vol 26, Iss, Pp 104357-(2021)
- Publication Year :
- 2022
- Publisher :
- Elsevier, 2022.
-
Abstract
- This paper is devoted to addressings the fairly interesting soliton solutions for the time fractional combined Korteweg-de Vries-modified Korteweg-de Vries equation (KdV–mKdV equation) and modified Burgers-KdV equation. The unified method along with conformable, Beta and local M-derivative are used to construct the general structure of solitary wave soliton solutions. The method allows us to find solutions in both polynomial and rational forms. Further, the comparison of solutions are given out through 3D and 2D-plots to expose the impact of fractional parameter on the obtained solutions. The reported solutions are novel and have not been discussed in the literature.
- Subjects :
- Polynomial
QC1-999
Conformable
Structure (category theory)
Mathematics::Analysis of PDEs
General Physics and Astronomy
02 engineering and technology
01 natural sciences
Modified Burgers-KdV Equation
Combined KdV-mKdV Equation
0103 physical sciences
Applied mathematics
Nonlinear Sciences::Pattern Formation and Solitons
Mathematics
010302 applied physics
Vries equation
Solitary Wave Soliton Solutions
Physics
Conformable matrix
021001 nanoscience & nanotechnology
The Unified Method
Nonlinear system
Nonlinear Sciences::Exactly Solvable and Integrable Systems
Soliton
0210 nano-technology
Beta and Local M-Derivative
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Results in Physics, Vol 26, Iss, Pp 104357-(2021)
- Accession number :
- edsair.doi.dedup.....c4eec439a46e48215004291f214f259d