Atomic Solution for Certain Gardner Equation-Reference-Cited by-同舟云学术

Atomic Solution for Certain Gardner Equation

Published:2023-02-07 Issue:2 Volume:15 Page:440
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Al-Khaleel Mohammad¹²^ORCID,Al-Sharif Sharifa²,AlJarrah Ameerah²

Affiliation:

1. Department of Mathematics, Khalifa University, Abu Dhabi 127788, United Arab Emirates

2. Department of Mathematics, Yarmouk University, Irbid 21163, Jordan

Abstract

In this paper, a new technique using a tensor product is presented in order to provide exact solutions to some certain fractional differential equations. Particularly, the well-known third order Gardner’s equation, which is also known in some contexts as KdV-mKdV, of the fractional type. This type of equations plays an important role in modeling many symmetric and asymmetric problems. Moreover, the existence of an atomic solution using a tensor product technique for certain second order equations has been proved.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/2/440/pdf

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