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#soliton — Public Fediverse posts

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  1. We’re having a #Soliton sale over here! Get yours quick! Seriously, though, this is a quick #animation of the #SolitonInteraction surface – the solution of the #Korteweg-deVries #Eauation showing (x,t,u(x,t)) giving you an all-round view.

    #MyWork #CCBYSA #AppliedMathematics #Mathematic #Phyiscs #KdV #KdVEquation #FreeSoftware #WxMaxima

  2. I posted on #Soliton interactions in the #Korteweg-deVries #Equation yesterday with an #Animation of how two #SolitaryWaves interact. The #PhaseShift experienced by both can also be seen in a static #3D plot with time, t, plotted on one axis. You should be able to see a “dog-leg” in the trajectory of each wave after it interacts with the other.

    #MyWork #CCBYSA #Mathematics #AppliedMathematics #Physics #FreeSoftware #WxMaxima

  3. When you start looking at #NonlinearWaves, some of these principles no longer apply. For example, in the Korteweg-de Vries equation, which has #Soliton or solutions, you can no longer simply add two solutions together as the resulting function would not be a solution of the governing equation. Waves of different heights travel at different velocities, with the taller waves moving faster than the shorter ones. Instead, they interact #nonlinearly.

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    #Mathematics #AppliedMathematics #Physics

  4. "The inherent stability of the #terahertz beat frequency between the signal and idler fields of an optical parametric oscillator is transferred to a microwave frequency of a Kerr #soliton comb, and synchronization is achieved via a coupling #waveguide without the need for electronic locking."

    nature.com/articles/s41586-024

  5. Domino Ring Machine Tips Tiles In a Never-ending Wave - Like to see dominoes fall? [JK Brickworks] has got what you need, in the form of a... - hackaday.com/2023/02/09/domino #mindstorms #toyhacks #dominos #soliton #domino #lego #art

  6. "If our #GalacticCentre has a #darkmatter #soliton core, some of the stars orbiting about the supermassive #blackhole (Sgr A*) would be crossing the soliton core boundary. In this article, we report the first theoretical study on how the dark matter soliton core near the Sgr A* could affect the surrounding stellar orbital #precession": arxiv.org/abs/2212.01979

  7. One of the great #mathematicians of the theory of integrable systems has passed away: Igor #Krichever (1950-2022) was instrumental in developing algebro-geometric methods to construct higher #genus solutions of #soliton equations 👉🏼 math.columbia.edu/~woit/wordpr . He gave a plenary talk at the #ICM2022 📽️ youtube.com/watch?v=LliT-96R1m