Results 41 to 50 of about 2,039 (189)
Lump and Mixed Rogue-Soliton Solutions of the (2 + 1)-Dimensional Mel’nikov System
Complexity, 2019 Lump wave and line rogue wave of the (2 + 1)-dimensional Mel’nikov system are derived by taking the ansatz as the rational function. By combining a rational function and different exponential functions, mixed solutions between the lump and soliton are ...
Yue-jun Deng, Rui-yu Jia, Ji Lin
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Soliton molecules, asymmetric solitons and hybrid solutions for KdV–CDG equation
Partial Differential Equations in Applied Mathematics, 2022 In this paper studies the Korteweg–de Vries–Caudrey–Dodd–Gibbon equation (KdV–CDG). Based on the N-soliton solutions, soliton molecules and asymmetric solitons of the equation are obtained by means of velocity resonance method.
Hongcai Ma, Huaiyu Huang, Aiping Deng
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Toward Mechanical Intelligence in Robotics
Advanced Robotics Research, EarlyView.Robots can use their physical bodies to perform functions usually assigned to electronic sensors and controllers. This perspective defines mechanical intelligence through three core operations: filtering inputs, routing mechanical signals, and switching between states.
Xinyi Yang +5 more
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Darboux Transformation and Soliton Solution of the Nonlocal Generalized Sasa–Satsuma Equation
Mathematics, 2023 This paper aims to seek soliton solutions for the nonlocal generalized Sasa–Satsuma (gSS) equation by constructing the Darboux transformation (DT). We obtain soliton solutions for the nonlocal gSS equation, including double-periodic wave, breather-like ...
Hong-Qian Sun, Zuo-Nong Zhu
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Polarization Dynamics in Ferroelectrics: Insights Enabled by Machine Learning Molecular Dynamics
Advanced Science, EarlyView.Machine learning molecular dynamics is presented as a route to capture polarization switching, domain wall kinetics, topological polar textures, and polar mechanical coupling beyond the limits of conventional atomistic methods. This Perspective surveys recent progress and identifies key methodological directions, including long‐range electrostatics ...
Dongyu Bai +3 more
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Advanced Science, EarlyView.An electro‐templating strategy directs the relaxation of cholesteric finger loops into discrete concentric rings whose geometry is electrically programmed. The photopolymerized structures retain the topological defect pattern and, upon heating, show reversible, castle‐like surface modulation.
Jacques A. Peixoto +4 more
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Well-separated soliton-antisoliton pairs with an adjoint Higgs field in 4D space
Physics Letters BWe present single soliton states and soliton-antisoliton states with an adjoint Higgs field in 4D flat space. The action of a single soliton state diverges, while the action of soliton-antisoliton states converges.
Liang Gong, Rui Shen
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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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Interacting noncommutative solitons (vacua) [PDF]
Czechoslovak Journal of Physics, 2001 We consider the dynamics of two interacting lumps/solitons in a noncommutative gauge model. We show that equations of motion describing this dynamics can be reduced to ones of a two-dimensional mechanical system which is well studied and was shown to exhibit stochastic behaviour.
openaire +2 more sources
Advanced Science, EarlyView.Freestanding oxide membranes transform twistronics by enabling deterministic stacking, strain release, and integration with two‐dimensional materials. A unified framework links local atomic registry to structural reconstruction, polar textures, charge modulation, flat bands, and magnetic responses, while identifying the fabrication and characterization
Puneet Kaur, Rahul, Jan‐Chi Yang
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