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New Conformable P-Type $(3+1)$-Dimensional Evolution Equation and its Analytical and Numerical Solutions

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Bibliographic Details
Title: New Conformable P-Type $(3+1)$-Dimensional Evolution Equation and its Analytical and Numerical Solutions
Authors: Mehmet Şenol, Meliha Özlem Erol
Source: Journal of New Theory, Iss 46, Pp 71-88 (2024)
Issue: 4671-88
Journal of New Theory
Publisher Information: Gaziosmanpasa University, 2024.
Publication Year: 2024
Subject Terms: $(3+1)$-dimensional evolution equation, residual power series method, Matematiksel Yöntemler ve Özel Fonksiyonlar, $\exp(–\phi(\xi))$-expansion method, 0103 physical sciences, QA1-939, modified extended tanh-function method, conformable derivative, 01 natural sciences, Mathematics, Mathematical Methods and Special Functions
Description: The paper examines the conformable nonlinear evolution equation in $(3+1)$-dimensions. First, basic definitions and characteristics for the conformable derivative are given. Then, the modified extended tanh-function and $\exp(–\phi(\xi))$-expansion techniques are utilized to determine the exact solutions to this problem. The consequences of some of the acquired data's physical 3D and 2D contour surfaces are used to demonstrate the findings, providing insight into how geometric patterns are physically interpreted. These solutions help illustrate how the studied model and other nonlinear representations in physical sciences might be used in real-world scenarios. It is clear that these methods have the capacity to solve a large number of fractional differential equations with beneficial outcomes.
Document Type: Article
File Description: application/pdf
ISSN: 2149-1402
DOI: 10.53570/jnt.1420224
Access URL: https://doaj.org/article/7411725bb717497cad4abc91aaff2707
https://dergipark.org.tr/tr/pub/jnt/issue/83886/1420224
Accession Number: edsair.doi.dedup.....b51a0e3a744d7315142c990ef76dad12
Database: OpenAIRE
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