We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
New Analytical Solutions for Coupled Stochastic Korteweg–de Vries Equations via Generalized Derivatives.
- Authors
Hyder, Abd-Allah; Barakat, Mohamed A.; Soliman, Ahmed H.; Almoneef, Areej A.; Cesarano, Clemente
- Abstract
In this paper, the coupled nonlinear KdV (CNKdV) equations are solved in a stochastic environment. Hermite transforms, generalized conformable derivative, and an algorithm that merges the white noise instruments and the (G ′ / G 2) -expansion technique are utilized to obtain white noise functional conformable solutions for these equations. New stochastic kinds of periodic and soliton solutions for these equations under conformable generalized derivatives are produced. Moreover, three-dimensional (3D) depictions are shown to illustrate that the monotonicity and symmetry of the obtained solutions can be controlled by giving a value of the conformable parameter. Furthermore, some remarks are presented to give a comparison between the obtained wave solutions and the wave solutions constructed under the conformable derivatives and Newton's derivatives.
- Subjects
KORTEWEG-de Vries equation; ANALYTICAL solutions; WHITE noise
- Publication
Symmetry (20738994), 2022, Vol 14, Issue 9, p1770
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym14091770