New solitary wave solutions for variants of (3+ 1)-dimensional Wazwaz-Benjamin-Bona-Mahony equations

H Rezazadeh, M Inc, D Baleanu - Frontiers in Physics, 2020 - frontiersin.org
We solve distinct forms of (3+ 1)-Dimensional Wazwaz-Benjamin-Bona-Mahony [(3+ 1)-
Dimensional WBBM] equations by employing the method of Sardar-subequation. When …

New optical solutions of the fractional Gerdjikov-Ivanov equation with conformable derivative

B Ghanbari, D Baleanu - Frontiers in Physics, 2020 - frontiersin.org
Finding exact analytic solutions to the partial equations is one of the most challenging
problems in mathematical physics. Generally speaking, the exact solution to many …

Solitary wave solutions of Fitzhugh–Nagumo-type equations with conformable derivatives

AC Cevikel, A Bekir, O Abu Arqub, M Abukhaled - Frontiers in Physics, 2022 - frontiersin.org
The Fitzhugh–Nagumo equation is an important non-linear reaction–diffusion equation used
to model the transmission of nerve impulses. This equation is used in biology as population …

The exact solutions of conformable time-fractional modified nonlinear Schrödinger equation by first integral method and functional variable method

SR Aderyani, R Saadati, J Vahidi… - Optical and Quantum …, 2022 - Springer
The exact solutions of conformable time-fractional modified nonlinear Schrödinger equation by
first integral method and functional variable method | Optical and Quantum Electronics Skip to …

Assorted hyperbolic and trigonometric function solutions of fractional equations with conformable derivative in shallow water

AC Cevikel, A Bekir - International Journal of Modern Physics B, 2023 - World Scientific
We present the modified simple equation method for solving nonlinear fractional-order
partial differential equations (fPDEs). With the presented method, some important fPDEs are …

Traveling wave solutions of conformable Duffing model in shallow water waves

AC Cevikel - International Journal of Modern Physics B, 2022 - World Scientific
The Duffing equation is a nonlinear second-order differential equation. The equation
describes the motion of a damped oscillator with a more complicated potential than in simple …

[PDF][PDF] New exact solutions for the Kaup-Kupershmidt equation

M Inc, M Miah, SA Akher Chowdhury, H Rezazadeh… - Aims Math, 2020 - researchgate.net
We present new exact solutions for the (1+ 1)-dimensional Kaup-Kupershmidt (KK) equation
by employing method of double (G/G, 1/G)-expansion. We express solutions by hyperbolic …

Optical solutions for the (3+ 1)-dimensional YTSF equation

AC Cevikel - Optical and Quantum Electronics, 2023 - Springer
Abstract Nonlinear Yu–Toda–Sassa–Fukuyama equation (YTSFE) exhibit significant a fluid
dynamics, plasma physics and weakly dispersive media. In this study, we given solutions to …

Laguerre wavelets exact parseval frame-based numerical method for the solution of system of differential equations

SC Shiralashetti, S Kumbinarasaiah - International Journal of Applied and …, 2020 - Springer
In this study, the Laguerre wavelets exact Parseval frame is introduced and proposed an
effective numerical algorithm to get a numerical solution for the system of differential …

Painlevé integrability and analytical solutions of variable coefficients negative order KdV–Calogero–Bogoyavlenskii–Schiff equation using auto-Bäcklund …

S Singh, SS Ray - Optical and Quantum Electronics, 2023 - Springer
The generalized form of the time-dependent variable coefficients negative order KdV–CBS
equation, which represents the interactions of long wave propagations and have the …