Optical soliton, linear stability analysis and conservation laws via multipliers to the integrable Kuralay equation

T Mathanaranjan - Optik, 2023‏ - Elsevier
This paper studies the integrable Kuralay equation which is a kind of integrable spin system
in (1+ 1) dimensions. Several new exact solutions of different kinds such as optical solitons …

An invariance analysis of the Vakhnenko–Parkes equation

A Hussain, AH Kara, FD Zaman - Chaos, Solitons & Fractals, 2023‏ - Elsevier
Lie symmetry analysis of differential equations is an effective technique to compute exact
solutions of a differential equation, to reduce number of independent variables or to reduce …

Soliton solutions of the ()-dimensional Kadomtsev–Petviashvili equation via two different integration schemes

M Ozisik, A Secer, M Bayram, A Yusuf… - International Journal of …, 2023‏ - World Scientific
In this research paper, we take into account the (2+ 1)-dimensional Kadomtsev–Petviashvili
equation which is important in the soliton theory of nonlinear physics. To get the desired …

[HTML][HTML] Bifurcation of some new traveling wave solutions for the time–space M-fractional MEW equation via three altered methods

I Siddique, KB Mehdi, MMM Jaradat, A Zafar… - Results in Physics, 2022‏ - Elsevier
Abstract In this work, 1/G′, modified G′/G 2 and new extended direct algebraic methods
are proposed to construct the novel exact traveling wave solutions in the form of …

Novel precise solutions and bifurcation of traveling wave solutions for the nonlinear fractional -dimensional WBBM equation

I Siddique, KB Mehdi, F Jarad… - … Journal of Modern …, 2023‏ - World Scientific
The nonlinear fractional differential equations (FDEs) are composed by mathematical
modeling through nonlinear corporeal structures. The study of these kinds of models has an …

Optical wave structures and stability analysis of integrable Zhanbota equation

T Mathanaranjan, K Yesmakhanova… - … Physics Letters B, 2024‏ - World Scientific
In this research, the integrable Zhanbota-IIA equation which plays an important role in
nonlinear optical dynamics is analytically investigated. Based on the extended sinh-Gordon …