[HTML][HTML] Dynamics of optical solitons and sensitivity analysis in fiber optics

N Raees, I Mahmood, E Hussain, U Younas… - Physics Letters A, 2024 - Elsevier
The nonlinear Schrödinger equation (NLSE) and its various forms have significant
applications in the field of soliton theory. The Fokas-Lenells (FL) equation stands as a …

[HTML][HTML] Dynamic optical soliton solutions of M-fractional modify unstable nonlinear Schrödinger equation via two analytic methods

MM Roshid, M Uddin, S Boulaaras, MS Osman - Results in Engineering, 2025 - Elsevier
In optical fibers, the nonlinear Schrödinger equation (NLSE) serves as the primary model for
studying the propagation of ultra-short waves. Specific instabilities in manipulated wave …

[HTML][HTML] Symmetry analysis, dynamical behavior, and conservation laws of the dual-mode nonlinear fluid model

A Jhangeer, L Říha - Ain Shams Engineering Journal, 2025 - Elsevier
The study aims to analyze conservation laws and dynamics of the dual-mode Gardner
equation for ideal fluid models. Lie symmetry analysis is applied to find symmetry …

Analysis of soliton wave structure for coupled Higgs equation via Lie symmetry, Paul Painlevé approach and the Unified method

S Shagolshem, B Bira, KV Nagaraja - Nonlinear Dynamics, 2024 - Springer
In the present study, we explore novel analytical solutions to the nonlinear coupled Higgs
field equation by leveraging symmetry analysis. Specifically through the identification and …