Optical soliton solutions to Chen Lee Liu model by the modified extended tanh expansion scheme

N Ozdemir, H Esen, A Secer, M Bayram, A Yusuf… - Optik, 2021 - Elsevier
The modified extended tanh expansion method is applied to the perturbed Chen–Lee–Liu
equation where the perturbation terms are with full nonlinearity. This method contributes a …

Optical soliton and other solutions to the nonlinear dynamical system via two efficient analytical mathematical schemes

M Bilal, J Ren, M Inc, RK Alhefthi - Optical and Quantum Electronics, 2023 - Springer
This article will discuss the (2+ 1)-dimensional nonlinear dynamical conformable
generalized Schrödinger system to represent the optical pulse propagation in monomode …

[HTML][HTML] Stable and effective traveling wave solutions to the non-linear fractional Gardner and Zakharov–Kuznetsov–Benjamin–Bona–Mahony equations

UHM Zaman, MA Arefin, MA Akbar… - … Differential Equations in …, 2023 - Elsevier
The space–time fractional Gardner and Zakharov–Kuznetsov–Benjamin–Bona–Mahony
(ZKBBM) equations are used to explain the transmission of shallow water waves inside a …

Optical solitons and other solutions to the Hirota–Maccari system with conformable, M-truncated and beta derivatives

N Ozdemir, H Esen, A Secer, M Bayram… - … Physics Letters B, 2022 - World Scientific
In this research paper, we scrutinize the novel traveling wave solutions and other solutions
with conformable, M-truncated and beta fractional derivatives for the nonlinear fractional …

[HTML][HTML] Symmetry analysis, closed-form invariant solutions and dynamical wave structures of the generalized (3+ 1)-dimensional breaking soliton equation using …

M Niwas, S Kumar, H Kharbanda - Journal of Ocean Engineering and …, 2022 - Elsevier
Nonlinear evolution equations (NLEEs) are primarily relevant to nonlinear complex physical
systems in a wide range of fields, including ocean physics, plasma physics, chemical …

Explore dynamical soliton propagation to the fractional order nonlinear evolution equation in optical fiber systems

UHM Zaman, MA Arefin, MA Akbar… - Optical and Quantum …, 2023 - Springer
This research opts to construct some innovative and further general solutions of nonlinear
traveling waves to the time fractional Gardner and Sharma-Tasso-Olver equations, which …

[HTML][HTML] Lie symmetry analysis and invariant solutions for (2+ 1) dimensional Bogoyavlensky-Konopelchenko equation with variable-coefficient in wave propagation

MR Ali, WX Ma, R Sadat - Journal of Ocean Engineering and Science, 2022 - Elsevier
This work aims to present nonlinear models that arise in ocean engineering. There are many
models of ocean waves that are present in nature. In shallow water, the linearization of the …

Plasma-waves evolution and propagation modeled by sixth order Ramani and coupled Ramani equations using symmetry methods

R Saleh, AS Rashed, AM Wazwaz - Physica Scripta, 2021 - iopscience.iop.org
Nonlinear shock waves in plasma was modeled and studied using Ramani equation of sixth
order and its coupled form representing the interaction between two waves. A new …

Analytical studies on the dynamics of higher-dimensional nonlinear circuit systems

G Sivaganesh, K Srinivasan, A Arulgnanam - Pramana, 2022 - Springer
Explicit analytical solutions of higher-dimensional chaotic and hyperchaotic systems are
areas of research to be much explored. Till now, the dynamics of higher-dimensional …

Soliton solutions of the Boussinesq equation via an efficient analytical technique

M Ozisik, A Secer, M Bayram, A Yusuf… - … Physics Letters B, 2022 - World Scientific
In this paper, we consider the Boussinesq equation which is an important equation and it is
widely used in coastal engineering, harbors, shallow seas and water wave to model weakly …