Novel dynamics of the Zoomeron model via different analytical methods

MS Ullah, D Baleanu, MZ Ali - Chaos, Solitons & Fractals, 2023 - Elsevier
We apply the novel Kudryashov scheme, the 1 G′ approach, and the G′ G′+ G+ A
technique to handle the Zoomeron model for the first time, which yields several kinds of …

[HTML][HTML] Nonlinear pulse propagation for novel optical solitons modeled by Fokas system in monomode optical fibers

S Tarla, KK Ali, TC Sun, R Yilmazer, MS Osman - Results in Physics, 2022 - Elsevier
In this study, the Fokas system which represents the spread of irregular pulse in monomode
optical fibers is investigated via the Jacobi elliptic function expansion (JEFE) method. This …

[HTML][HTML] New waves solutions of the (2+ 1)-dimensional generalized Hirota–Satsuma–Ito equation using a novel expansion method

S Khaliq, S Ahmad, A Ullah, H Ahmad, S Saifullah… - Results in Physics, 2023 - Elsevier
Numerous scientific fields depend on precise solutions, which can be obtained for nonlinear
partial differential equations (PDEs) through various techniques. It is important to note that …

An investigation of two integro-differential KP hierarchy equations to find out closed form solitons in mathematical physics

MA Iqbal, MM Miah, MM Rasid… - Arab Journal of Basic …, 2023 - Taylor & Francis
Nonlinear partial differential equations (NLPDEs) are widely utilized in engineering and
physical research to represent many physical processes of naturalistic occurrences. In this …

Novel optical soliton solutions to nonlinear paraxial wave model

KL Wang, CF Wei - Modern Physics Letters B, 2024 - World Scientific
In this paper, we primarily focus on the nonlinear paraxial wave equation in Kerr media, a
generalization of the nonlinear Schrödinger equation utilized to characterize the dynamics of …

[HTML][HTML] Some new exact solutions of (4+ 1)-dimensional Davey–Stewartson-Kadomtsev–Petviashvili equation

I Ahmad, A Jalil, A Ullah, S Ahmad, M De la Sen - Results in Physics, 2023 - Elsevier
Exact solutions of nonlinear equations have got formidable attraction of researchers
because these solutions demonstrate the physical behaviour of a model. In this paper, we …

[HTML][HTML] Investigation of adequate closed form travelling wave solution to the space-time fractional non-linear evolution equations

MA Arefin, MA Khatun, MH Uddin, M Inc - Journal of Ocean Engineering …, 2022 - Elsevier
This work aims to construct exact solutions for the space-time fractional (2+ 1)-dimensional
dispersive longwave (DLW) equation and approximate long water wave equation (ALW) …

New promising and challenges of the fractional Calogero–Bogoyavlenskii–Schiff equation

KL Wang - Fractals, 2023 - World Scientific
The Calogero–Bogoyavlenskii–Schiff equation is an important nonlinear evolution model to
describe the propagation of Riemann waves. A fractional Calogero–Bogoyavlenskii–Schiff is …

Exact traveling wave solutions of (2+ 1)-dimensional extended Calogero–Bogoyavlenskii–Schiff equation using extended trial equation method and modified auxiliary …

G Akram, M Sadaf, S Arshed, R Latif, M Inc… - Optical and Quantum …, 2024 - Springer
Abstract The (2+ 1)-dimensional extended Calogero–Bogoyavlenskii–Schiff equation
appears in the mathematical description of physical phenomena in plasma physics, fluid …

Closed form wave profiles of the coupled-Higgs equation via the -model expansion method

KK Ali, S Tarla, A Yusuf, R Yilmazer - International Journal of …, 2023 - World Scientific
The coupled-Higgs equation, which depicts a system of preserved scalar nucleons
cooperating with unbiased scalar mesons, is investigated using the ϕ 6-model expansion …