Results 31 to 40 of about 15,986,815 (176)
The Integrability of a New Fractional Soliton Hierarchy and Its Application
Advances in Mathematical Physics, 2022 Two fractional soliton equations are presented generated from the same spectral problem involved in a fractional potential by the zero-curvature representations. They are a kind of special reductions of the famous AKNS system.
Xiao-ming Zhu, Jian-bing Zhang
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Effects of Spin-Dependent Polariton-Polariton Interactions in Semiconductor Microcavities: Spin Rings, Bright Spatial Solitons and Soliton Patterns [PDF]
, 2013 Semiconductor microcavity polaritons are composite half-light half-matter quasiparticles that arise from strong coupling of photons and excitons in semiconductor microcavities.
Sich, Maksym
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Results in Physics, 2023 In the previous studies, the authors have reported the lump soliton collided with other nonlinear localized waves for (2+1)-dimensional Korteweg–de Vries–Sawada-Kotera–Ramani equation.
Longxing Li +3 more
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On the non-integrability of the Popowicz peakon system [PDF]
, 2009 We consider a coupled system of Hamiltonian partial differential equations introduced by Popowicz, which has the appearance of a two-field coupling between the Camassa-Holm and Degasperis-Procesi equations.
Irle, Michael V., Hone, Andrew N.W.
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Alexandria Engineering JournalThe presented work concerns with some novel solutions of the (2+1)-dimensional Boussinesq equation (BE), which acts as an important model for shallow water wave.
Kang-Jia Wang +3 more
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Partial Differential Equations in Applied Mathematics, 2022 In this paper, the main work is to study the N-soliton solutions for the M-component nonlinear Schrödinger equations, the matrix Riemann–Hilbert problem is constructed for this integrable hierarchies by analyzing the block matrix spectral problem of the ...
Jian Li, Tiecheng Xia
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Advanced Materials, EarlyView.ABSTRACT The accelerating expansion of data‐centric technologies is sharply increasing the energy burden of information storage, placing unprecedented pressure on the efficiency of magnetic switching. Conventional field‐driven reversal, once the foundation of magnetic memory, has become impractical in modern architectures due to its high energy cost ...
Mohammad H. Badarneh +2 more
wiley +1 more source
New dynamical behaviors for a new extension of the Shallow water model
Results in Physics, 2022 The aim of this work, is to construct some novel solutions for a new extension of the shallow water model in (3+1)-dimensions. Based on two methods namely; simplified Hirota’s method and a long-wave method a class of solutions are reported.
Jian-Guo Liu +2 more
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On‐Chip Photonic Neural Network Architectures
Advanced Optical Materials, EarlyView.This review presents a comprehensive overview of on‐chip photonic neural network architectures, covering key photonic building blocks, representative network types, and emerging applications. Recent advances, implementation challenges, and future directions are examined, highlighting the potential of integrated photonics to enable ultrafast, energy ...
Seokjin Hong +7 more
wiley +1 more source
Scientific Reports, 2023 In this paper, the exact solutions of generalized nonlinear Schrödinger (GNLS) equation are obtained by using Darboux transformation(DT). We derive some expressions of the 1-solitons, 2-solitons and n-soliton solutions of the GNLS equation via ...
Chengcheng Fan, Li Li, Fajun Yu
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