[HTML][HTML] New solutions of the soliton type of shallow water waves and superconductivity models

MA Akbar, FA Abdullah, MT Islam, MA Al Sharif… - Results in Physics, 2023 - Elsevier
For uni-directional wave transmission in the smooth bottom of shallow sea water and the
superconductivity of nonlinear media with dispersion systems, the (1+ 1)-dimensional …

[HTML][HTML] Application of modified exp-function method for strain wave equation for finding analytical solutions

M Shakeel, NA Shah, JD Chung - Ain Shams Engineering Journal, 2023 - Elsevier
The strain wave equation in micro-structured solids, which is significant in solid physics, is
offered for consideration in this work. This is accomplished using the modified exp-function …

Travelling wave solution for the Landau-Ginburg-Higgs model via the inverse scattering transformation method

MR Ali, MA Khattab, SM Mabrouk - Nonlinear Dynamics, 2023 - Springer
Abstract The Landau-Ginzburg-Higgs (LGH) equation explains the ocean engineering
models, superconductivity and drift cyclotron waves in radially inhomogeneous plasma for …

[HTML][HTML] Soliton solutions and fractional effects to the time-fractional modified equal width equation

MH Bashar, M Inc, SMR Islam, KH Mahmoud… - Alexandria Engineering …, 2022 - Elsevier
The one-dimensional long water wave propagation in a nonlinear medium, including the
dispersion process, is well simulated by the fractional-order modified equal-width (MEW) …

Assorted optical soliton solutions of the nonlinear fractional model in optical fibers possessing beta derivative

MN Islam, M Al-Amin, MA Akbar, AM Wazwaz… - Physica …, 2023 - iopscience.iop.org
Abstract The nonlinear Chen-Lee-Liu (CLL) equation is an important mathematical model
that is employed in the evaluation of optical fiber communication systems. It considers …

[HTML][HTML] Exact solutions to the (2+ 1)-Dimensional Heisenberg ferromagnetic spin chain equation by using modified simple equation and improve F-expansion …

MH Bashar, SMR Islam - Physics Open, 2020 - Elsevier
In this article, we implement the modified simple equation (MSE) and improve F-expansion
method to find the exact solutions of the (2​+​ 1)-dimensional Heisenberg Ferromagnetic …

[HTML][HTML] Exact and solitary wave solutions for the Tzitzeica–Dodd–Bullough and the modified KdV–Zakharov–Kuznetsov equations using the modified simple equation …

K Khan, MA Akbar - Ain Shams Engineering Journal, 2013 - Elsevier
The modified simple equation (MSE) method is thriving in finding exact traveling wave
solutions of nonlinear evolution equations (NLEEs) in engineering and mathematical …

[HTML][HTML] The generalized Kudryashov method to obtain exact traveling wave solutions of the PHI-four equation and the Fisher equation

F Mahmud, M Samsuzzoha, MA Akbar - Results in Physics, 2017 - Elsevier
In recent years, searching exact traveling wave solutions to nonlinear evolution equations
(NLEEs) has become a remarkable topic of research. In this article, we obtain exact traveling …

Some applications of the (G′/G, 1/G)-expansion method to find new exact solutions of NLEEs

M Mamun Miah, HM Shahadat Ali, M Ali Akbar… - The European Physical …, 2017 - Springer
The double (G'/GG/G, 1/G 1/G)-expansion method is an influential, effective and well-suited
method to examine closed form traveling wave solutions to nonlinear evolution equations …

[HTML][HTML] Traveling wave solutions of the (2+ 1)-dimensional Zoomeron equation and the Burgers equations via the MSE method and the Exp-function method

K Khan, MA Akbar - Ain Shams Engineering Journal, 2014 - Elsevier
The modified simple equation (MSE) method is promising for finding exact traveling wave
solutions of nonlinear evolution equations (NLEEs) in mathematical physics. In this letter, we …