Novel optical solitons and other wave structures of solutions to the fractional order nonlinear Schrodinger equations
Nonlinear models of fractional order have elaborately been taken place in the research field
for their importance bearing the significant roles to depict the interior mechanisms of …
for their importance bearing the significant roles to depict the interior mechanisms of …
Application of Hirota operators for controlling soliton interactions for Bose-Einstien condensate and quintic derivative nonlinear Schrödinger equation
With the help of the Hirota bilinear method (HBM), we study soliton interactions of quasi-1D
Bose-Einstein Condensate system (BECs) with dipole-dipole attraction and repulsion. BEC …
Bose-Einstein Condensate system (BECs) with dipole-dipole attraction and repulsion. BEC …
Optical soliton and other solutions to the nonlinear dynamical system via two efficient analytical mathematical schemes
This article will discuss the (2+ 1)-dimensional nonlinear dynamical conformable
generalized Schrödinger system to represent the optical pulse propagation in monomode …
generalized Schrödinger system to represent the optical pulse propagation in monomode …
[HTML][HTML] Numerical solution method for multi-term variable order fractional differential equations by shifted Chebyshev polynomials of the third kind
SN Tural-Polat, AT Dincel - Alexandria Engineering Journal, 2022 - Elsevier
Multi-term variable-order fractional differential equations (VO-FDEs) are considered to be
one of the tools to illustrate the behavior of transient-regime real-life phenomena precisely …
one of the tools to illustrate the behavior of transient-regime real-life phenomena precisely …
[HTML][HTML] Specific wave structures of a fifth-order nonlinear water wave equation
Investigated in the present paper is a fifth-order nonlinear evolution (FONLE) equation,
known as a nonlinear water wave (NLWW) equation, with applications in the applied …
known as a nonlinear water wave (NLWW) equation, with applications in the applied …
[PDF][PDF] A survey of KdV-CDG equations via nonsingular fractional operators
In this article, the Korteweg-de Vries-Caudrey-Dodd-Gibbon (KdV-CDG) equation is
explored via a fractional operator. A nonlocal differential operator with a nonsingular kernel …
explored via a fractional operator. A nonlocal differential operator with a nonsingular kernel …
Analysis of the Fuzzy Fractional‐Order Solitary Wave Solutions for the KdV Equation in the Sense of Caputo‐Fabrizio Derivative
In this paper, we construct a system for analysis of an analytic solution of fractional fuzzy
solitary wave solutions for the Korteweg–De Vries (KdV) equation. We apply the iterative …
solitary wave solutions for the Korteweg–De Vries (KdV) equation. We apply the iterative …
Study on the Biswas–Arshed equation with the beta time derivative
In this study, the Biswas–Arshed equation (BAE) is handled with the beta time derivative.
This model compensates for the group velocity dispersion (GVD) by the dispersion of time …
This model compensates for the group velocity dispersion (GVD) by the dispersion of time …
[HTML][HTML] A new computational approach to the fractional-order Liouville equation arising from mechanics of water waves and meteorological forecasts
The current analysis employs the improved F-expansion, modified extended tanh,
exponential rational function, and (g′)− expansion procedures to find a divergent collection …
exponential rational function, and (g′)− expansion procedures to find a divergent collection …
Numerical approach to generalized coupled fractional Ramani equations
The main goal of this study is to find solutions for the generalized coupled Ramani equation
with the fractional order using the fractional natural decomposition method (FNDM). Four …
with the fractional order using the fractional natural decomposition method (FNDM). Four …