Results 41 to 50 of about 2,889,111 (209)
Construction of lump soliton and mixed lump stripe solutions of (3+1)-dimensional soliton equation
In this letter, we apply two different ansatzs for constructing the lump soliton and mixed lump strip solutions of (3+1)-dimensional soliton equation, which is associating with the Hirota bilinear form.
Jiangen Liu, Yufeng Zhang
doaj +1 more source
Nonlocal-derivative NLS equations and group-invariant soliton solutions
A coupled Chen–Lee–Liu (CLL) system is proposed and its linear Lax pair is given. Many kinds of nonlocal-derivative NLS (DNLS) equations arise from the group symmetry reductions of the coupled CLL system.
Yuqin Yao, Yehui Huang
doaj +1 more source
Toward Mechanical Intelligence in Robotics
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
wiley +1 more source
Soliton spectral tunneling in dispersion controlled holey fibers [PDF]
We design a number of index-guiding holey fibers with relatively simple structure which possess suitable dispersive properties for the observation of soliton spectral tunneling.
Horak, P., Richardson, D.J., Poletti, F.
core +1 more source
Polarization Dynamics in Ferroelectrics: Insights Enabled by Machine Learning Molecular Dynamics
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
wiley +1 more source
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
wiley +1 more source
Rhythmic Soliton Interactions for Integrated Dual-Microcomb Spectroscopy
Soliton waves are sustained by a self-created index potential well, and their interactions occur when the potential well is invaded by other solitons. The interactions are important to soliton compounds in plasma, Bose-Einstein condensation, and optical ...
Zihao Wang +8 more
doaj +1 more source
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
wiley +1 more source
Interacting noncommutative solitons (vacua) [PDF]
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
Solving bi-directional soliton equations in the KP hierarchy by gauge transformation [PDF]
We present a systematic way to construct solutions of the (n = 5)-reduction of the BKP and CKP hierarchies from the general τ function τn+k of the KP hierarchy.
Cheng, Yi +4 more
core +1 more source

