Results 81 to 90 of about 902,254 (275)
Active Metamaterials with Tunable Shear Nonreciprocity and Nonlinear Dynamics
Advanced Science, EarlyView.Active gear‐based mechanical metamaterials enable simultaneous control of translational and torsional stiffnesses by 30–100×, break shear reciprocity under positive versus negative loads, broadly tune resonant frequencies, and offer programmable dynamic responses.
Xin Fang, Miao Yu, Dianlong Yu, Li Cheng
wiley +1 more source
Compactons and topological solitons of the Drinfel'd–Sokolov system
Nonlinear Analysis, 2014 This paper presents the Drinfel’d–Sokolov system (shortly D(m, n)) in a detailed fashion. The Jacobi’s elliptic function method is employed to extract the cnoidal and snoidal wave solutions. The compacton and solitary pattern solutions are also retrieved.
Mustafa Inc +3 more
doaj +1 more source
The N-soliton solution of a two-component modified nonlinear Schrödinger equation [PDF]
Physics Letters A, 2011 To appear in Phys. Lett. A (2011)
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Advancing Energy Materials by In Situ Atomic Scale Methods
Advanced Energy Materials, Volume 15, Issue 11, March 18, 2025.Progress in in situ atomic scale methods leads to an improved understanding of new and advanced energy materials, where a local understanding of complex, inhomogeneous systems or interfaces down to the atomic scale and quantum level is required. Topics from photovoltaics, dissipation losses, phase transitions, and chemical energy conversion are ...
Christian Jooss +21 more
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Bilinearization of Discrete Soliton Equations and Singularity Confinement
, 1996 Bilinear forms for some nonlinear partial difference equations(discrete soliton equations) are derived based on the results of singularity confinement.
Grammaticos +14 more
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Self‐Similar Blowup for the Cubic Schrödinger Equation
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
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Multi-soliton dynamics of anti-self-dual gauge fields
Journal of High Energy Physics, 2022 We study dynamics of multi-soliton solutions of anti-self-dual Yang-Mills equations for G = GL(2, ℂ) in four-dimensional spaces. The one-soliton solution can be interpreted as a codimension-one soliton in four-dimensional spaces because the principal ...
Masashi Hamanaka, Shan-Chi Huang
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ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.This study investigates the effects of oxidation treatment on the nonlinear optical absorption properties and carrier dynamics of two‐dimensional violet phosphorene (VP), elucidating the underlying physical mechanisms. Furthermore, ultrashort laser pulses are achieved utilizing the enhanced saturation absorption and shortened carrier relaxation ...
Bo Li +6 more
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Heat Transfer, EarlyView.ABSTRACT Traditional numerical methods, such as finite difference methods (FDM), finite element methods (FEM), and spectral methods, often face meshing challenges and high computational cost for solving nonlinear coupled differential equations. Machine learning techniques, specifically Physics‐informed machine learning, address these obstacles by ...
Ahmad, Feroz Soomro, Husna Zafar
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Soliton Molecules and Full Symmetry Groups to the KdV-Sawada-Kotera-Ramani Equation
Advances in Mathematical Physics, 2021 By N-soliton solutions and a velocity resonance mechanism, soliton molecules are constructed for the KdV-Sawada-Kotera-Ramani (KSKR) equation, which is used to simulate the resonances of solitons in one-dimensional space.
Na Xiong, Ya-Xuan Yu, Biao Li
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