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Published in 2019 at "Advanced materials"
DOI: 10.1002/adma.201806317
Abstract: Controlling light with light is essential for all-optical switching, data processing in optical communications and computing. Until now, all-optical control of light has relied almost exclusively on nonlinear optical interactions in materials. Achieving giant nonlinearities… read more here.
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Published in 2019 at "Journal of Nonlinear Science"
DOI: 10.1007/s00332-018-9521-7
Abstract: In this paper, we study the dynamics of nonlinear random walks. While typical random walks on networks consist of standard Markov chains whose static transition probabilities dictate the flow of random walkers through the network,… read more here.
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Published in 2020 at "Optik"
DOI: 10.1016/j.ijleo.2020.165158
Abstract: Abstract The existence and stability of nonlinear stationary states in nonlinear saturable coupler with balanced gain–loss (the parity-time symmetric distribution) are studied. Propagation and switching of beams at the different initial excitations are investigated. read more here.
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Published in 2025 at "Journal of Fluid Mechanics"
DOI: 10.1017/jfm.2025.10560
Abstract: Abstract The dynamics of thin viscous liquid films flowing down an inclined wall under gravity in the presence of an upward flowing high-speed air stream is considered. The air stream induces nonlinear waves on the… read more here.
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Published in 2025 at "Scientific reports"
DOI: 10.1038/s41598-025-30414-6
Abstract: The nonlinear coupled Riemann wave equation serves as a mathematical framework for analyzing the interaction between short and long waves in various physical phenomena. Its importance lies in capturing both soliton-like behaviors and complex instabilities… read more here.
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Published in 2022 at "Chaos"
DOI: 10.1063/5.0138866
Abstract: The nonlinear dynamics of circularly polarized dispersive Alfvén wave (AW) envelopes coupled to the driven ion-sound waves of plasma slow response is studied in a uniform magnetoplasma. By restricting the wave dynamics to a few… read more here.
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Published in 2023 at "Physical review. E"
DOI: 10.1103/physreve.107.044120
Abstract: Stochastic dynamics of a nonlinear thermal circuit is studied. Due to the existence of negative differential thermal resistance, there exist two stable steady states that satisfy both the continuity and stability conditions. The dynamics of… read more here.
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Published in 2018 at "Physical Review E"
DOI: 10.1103/physreve.97.052204
Abstract: We consider the evolution of the 2-soliton (breather) of the nonlinear Schrödinger equation on a semi-infinite line with the zero boundary condition and a linear potential, which corresponds to the gravity field in the presence… read more here.
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Published in 2022 at "Physical review letters"
DOI: 10.1103/physrevlett.128.213901
Abstract: We develop a rigorous theoretical framework based on principles from statistical mechanics that allows one to predict the equilibrium response of classical non-Hermitian arrangements in the weakly nonlinear regime. In this respect, we demonstrate that… read more here.