Results 101 to 110 of about 902,254 (275)
Optical Skyrmions with Tunable or Reconfigurable Topology Using Spin‐Decoupled Metaoptics
Laser &Photonics Reviews, EarlyView.The work introduces advanced optical elements capable of generating and dynamically reconfiguring complex light patterns known as optical skyrmions. By precisely shaping light polarization at the nanoscale, a single engineered metasurface can generate and manipulate robust and tunable polarization textures in an efficient and scalable way.
Andrea Vogliardi +5 more
wiley +1 more source
Resonant optical pulses on a continuous wave background in two-level active media
, 2018 We present exact N-soliton optical pulses riding on a continuous-wave (c.w.) beam that propagate through and interact with a two-level active optical medium.
Biondini, Gino +3 more
core +1 more source
On Non‐Compact Extended Bach Solitons
Mathematische Nachrichten, EarlyView.ABSTRACT We study the characterization of non‐compact solitons of the extended Bach flow, known as an extended Bach soliton. We prove that a weakly conformally flat extended Bach soliton (Mn,g,V)$(M^n,g,V)$ with harmonic Weyl tensor is Bach‐flat and the potential vector field V$V$ is conformal.
Rahul Poddar
wiley +1 more source
Affine Solitons: A Relation Between Tau Functions, Dressing and B\"acklund Transformations
, 1992 We reconsider the construction of solitons by dressing transformations in the sine-Gordon model. We show that the $N$-soliton solutions are in the orbit of the vacuum, and we identify the elements in the dressing group which allow us to built the $N ...
Babelon, Olivier, Bernard, Denis
core +3 more sources
Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar +3 more
wiley +1 more source
Results in PhysicsThe central target of this research is looking into some novel solutions of the (3 + 1)-dimensional nonlinear evolution equation (NEE) for the shallow water waves.
Kang-Jia Wang +3 more
doaj +1 more source
N-soliton solutions of an integrable equation studied by Qiao
, 2011 In this paper, we studied N-soliton solutions of an integrable equation.
Zhaqilaoa, Qiao, Zhijun
openaire +2 more sources
Interaction of Dirac δ$$ \delta $$‐Waves in the Inviscid Levine and Sleeman Chemotaxis Model
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This article investigates interactions of δ$$ \delta $$‐shock waves in the inviscid Levine and Sleeman chemotaxis model ut−λ(uv)x=0$$ {u}_t-\lambda {(uv)}_x=0 $$, vt−ux=0$$ {v}_t-{u}_x=0 $$. The analysis employs a distributional product and a solution concept that extends the classical solution concept.
Adelino Paiva
wiley +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq +4 more
wiley +1 more source
Applied Mathematics Letters, 2019 In this paper, the truncated Painleve expansion is employed to derive the Backlund transformation and the n th Backlund transformation of the modified Kadomtsev–Petviashvili equation. The method for constructing the rational solutions with the aid of the
Zhonglong Zhao
semanticscholar +1 more source