Geometrical patterns of time variable Kadomtsev–Petviashvili (I) equation that models dynamics of waves in thin films with high surface tension

HF Ismael, TA Sulaiman, HR Nabi, W Mahmoud… - Nonlinear …, 2023 - Springer
Lump solutions are a prominent option for numerous models of nonlinear evolution. The
intention of this research is to explore the variable coefficients Kadomtsev–Petviashvili …

New optical solitons based on the perturbed Chen-Lee-Liu model through Jacobi elliptic function method

S Tarla, KK Ali, R Yilmazer, MS Osman - Optical and Quantum Electronics, 2022 - Springer
In this study, we investigate the perturbed Chen-Lee-Liu equation that represents the
propagation of an optical pulse in plasma and optical fiber. The Jacobi elliptic function …

[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 …

On the dynamics of the nonautonomous multi-soliton, multi-lump waves and their collision phenomena to a (3+ 1)-dimensional nonlinear model

HF Ismael, TA Sulaiman - Chaos, Solitons & Fractals, 2023 - Elsevier
One of the most popular ways to solve wave equations and explain nonlinear physical
phenomena is with nonautonomous soliton solutions. This work aims to analyze the (3+ 1) …

The dynamic behaviors of the Radhakrishnan–Kundu–Lakshmanan equation by Jacobi elliptic function expansion technique

S Tarla, KK Ali, R Yilmazer, MS Osman - Optical and Quantum Electronics, 2022 - Springer
In this study, we express the Radhakrishnan–Kundu–Lakshmanan equation with an
arbitrary index of n∈ Q. We investigated the solitary wave solutions of the Radhakrishnan …

[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 …

Construction of different types of traveling wave solutions of the relativistic wave equation associated with the Schrödinger equation

A Yokuş - Mathematical Modelling and Numerical Simulation with …, 2021 - dergipark.org.tr
In this study, an alternative method has been applied to obtain the new wave solution of
mathematical equations used in physics, engineering, and many applied sciences. We …

Dynamic behavior of the (3+ 1)-dimensional KdV–Calogero–Bogoyavlenskii–Schiff equation

KK Ali, R Yilmazer, MS Osman - Optical and Quantum Electronics, 2022 - Springer
Abstract In this article, the (3+ 1)-dimensional KdV–Calogero–Bogoyavlenskii–Schiff
equation, which describes the interactions of long wave propagations and has diverse …

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] Modulation instability analysis and optical solutions of an extended (2+ 1)-dimensional perturbed nonlinear Schrödinger equation

KK Ali, S Tarla, MR Ali, A Yusuf - Results in Physics, 2023 - Elsevier
Abstract We examine an extended (2+ 1)-dimensional perturbed nonlinear Schrödinger
equation with Kerr law nonlinearity in a nano-optical fiber with fourth-order spatial …