SOME RECENT DEVELOPMENTS ON DYNAMICAL -DISCRETE FRACTIONAL TYPE INEQUALITIES IN THE FRAME OF NONSINGULAR AND NONLOCAL …
Discrete fractional calculus (𝒟 ℱ 𝒞) is significant for neural networks, complex dynamic
systems and frequency response analysis approaches. In contrast with the continuous-time …
systems and frequency response analysis approaches. In contrast with the continuous-time …
Study on date–Jimbo–Kashiwara–Miwa equation with conformable derivative dependent on time parameter to find the exact dynamic wave solutions
In this article, we construct the exact dynamical wave solutions to the Date–Jimbo–
Kashiwara–Miwa equation with conformable derivative by using an efficient and well …
Kashiwara–Miwa equation with conformable derivative by using an efficient and well …
[HTML][HTML] Solitary waves travelling along an unsmooth boundary
JH He, N Qie, CH He - Results in Physics, 2021 - Elsevier
It is well-known that the boundary conditions will greatly affect the wave shape of a nonlinear
wave equation. This paper reveals that the peak of a solitary wave is weakly affected by the …
wave equation. This paper reveals that the peak of a solitary wave is weakly affected by the …
[HTML][HTML] Soliton theory and modulation instability analysis: The Ivancevic option pricing model in economy
Q Chen, HM Baskonus, W Gao, E Ilhan - Alexandria Engineering Journal, 2022 - Elsevier
In this projected paper, we study on the Ivancevic option pricing model. We apply two
important methods, namely, rational sine-Gordon expansion method which is recently …
important methods, namely, rational sine-Gordon expansion method which is recently …
[HTML][HTML] A novel study of Morlet neural networks to solve the nonlinear HIV infection system of latently infected cells
The aim of this study is to provide the numerical outcomes of a nonlinear HIV infection
system of latently infected CD4+ T cells exists in bioinformatics using Morlet wavelet (MW) …
system of latently infected CD4+ T cells exists in bioinformatics using Morlet wavelet (MW) …
[HTML][HTML] On global behavior for complex soliton solutions of the perturbed nonlinear Schrödinger equation in nonlinear optical fibers
In this research article, the perturbed nonlinear Schrödinger equation (P-NLSE) is examined
by utilizing two analytical methods, namely the extended modified auxiliary equation …
by utilizing two analytical methods, namely the extended modified auxiliary equation …
[HTML][HTML] Analysis of analytical solutions of fractional Date-Jimbo-Kashiwara-Miwa equation
In this study, the authors solved the (2+ 1)-dimensional fractional Date-Jimbo-Kashiwara-
Miwa equation for nonlinear dispersive waves in an inhomogeneous medium, which is an …
Miwa equation for nonlinear dispersive waves in an inhomogeneous medium, which is an …
[HTML][HTML] Nematicons in liquid crystals with Kerr Law by sub-equation method
S Duran, B Karabulut - Alexandria Engineering Journal, 2022 - Elsevier
In this study, trigonometric and hyperbolic type traveling wave solutions are produced by
using the sub-equation analytical method by taking into account the Kerr Law properties of …
using the sub-equation analytical method by taking into account the Kerr Law properties of …
[HTML][HTML] Collision phenomena among lump, periodic and soliton solutions to a (2+ 1)-dimensional Bogoyavlenskii's breaking soliton model
Abstract In this manuscript, the (2+ 1)-dimensional Bogoyavlenskii's breaking soliton (BBS)
model is considered. At-first, we reduce the model into its bilinear form using the Hirota …
model is considered. At-first, we reduce the model into its bilinear form using the Hirota …
Stability analysis and optical soliton solutions to the nonlinear Schrödinger model with efficient computational techniques
In this research work, we elucidate the dynamical behavior of optical solitons to the
generalized (1+ 1)-dimensional unstable space–time fractional nonlinear Schrödinger (gf …
generalized (1+ 1)-dimensional unstable space–time fractional nonlinear Schrödinger (gf …