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Khurram Wadee ✅We’re having a <a href="https://mastodon.org.uk/tags/Soliton" class="mention hashtag" rel="nofollow noopener" target="_blank">#Soliton</a> sale over here! Get yours quick! Seriously, though, this is a quick <a href="https://mastodon.org.uk/tags/animation" class="mention hashtag" rel="nofollow noopener" target="_blank">#animation</a> of the <a href="https://mastodon.org.uk/tags/SolitonInteraction" class="mention hashtag" rel="nofollow noopener" target="_blank">#SolitonInteraction</a> surface – the solution of the <a href="https://mastodon.org.uk/tags/Korteweg" class="mention hashtag" rel="nofollow noopener" target="_blank">#Korteweg</a>-deVries <a href="https://mastodon.org.uk/tags/Eauation" class="mention hashtag" rel="nofollow noopener" target="_blank">#Eauation</a> showing (x,t,u(x,t)) giving you an all-round view.<a href="https://mastodon.org.uk/tags/MyWork" class="mention hashtag" rel="nofollow noopener" target="_blank">#MyWork</a> <a href="https://mastodon.org.uk/tags/CCBYSA" class="mention hashtag" rel="nofollow noopener" target="_blank">#CCBYSA</a> <a href="https://mastodon.org.uk/tags/AppliedMathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#AppliedMathematics</a> <a href="https://mastodon.org.uk/tags/Mathematic" class="mention hashtag" rel="nofollow noopener" target="_blank">#Mathematic</a> <a href="https://mastodon.org.uk/tags/Phyiscs" class="mention hashtag" rel="nofollow noopener" target="_blank">#Phyiscs</a> <a href="https://mastodon.org.uk/tags/KdV" class="mention hashtag" rel="nofollow noopener" target="_blank">#KdV</a> <a href="https://mastodon.org.uk/tags/KdVEquation" class="mention hashtag" rel="nofollow noopener" target="_blank">#KdVEquation</a> <a href="https://mastodon.org.uk/tags/FreeSoftware" class="mention hashtag" rel="nofollow noopener" target="_blank">#FreeSoftware</a> <a href="https://mastodon.org.uk/tags/WxMaxima" class="mention hashtag" rel="nofollow noopener" target="_blank">#WxMaxima</a>

Khurram Wadee ✅I posted on <a href="https://mastodon.org.uk/tags/Soliton" class="mention hashtag" rel="nofollow noopener" target="_blank">#Soliton</a> interactions in the <a href="https://mastodon.org.uk/tags/Korteweg" class="mention hashtag" rel="nofollow noopener" target="_blank">#Korteweg</a>-deVries <a href="https://mastodon.org.uk/tags/Equation" class="mention hashtag" rel="nofollow noopener" target="_blank">#Equation</a> yesterday with an <a href="https://mastodon.org.uk/tags/Animation" class="mention hashtag" rel="nofollow noopener" target="_blank">#Animation</a> of how two <a href="https://mastodon.org.uk/tags/SolitaryWaves" class="mention hashtag" rel="nofollow noopener" target="_blank">#SolitaryWaves</a> interact. The <a href="https://mastodon.org.uk/tags/PhaseShift" class="mention hashtag" rel="nofollow noopener" target="_blank">#PhaseShift</a> experienced by both can also be seen in a static <a href="https://mastodon.org.uk/tags/3D" class="mention hashtag" rel="nofollow noopener" target="_blank">#3D</a> 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.<a href="https://mastodon.org.uk/tags/MyWork" class="mention hashtag" rel="nofollow noopener" target="_blank">#MyWork</a> <a href="https://mastodon.org.uk/tags/CCBYSA" class="mention hashtag" rel="nofollow noopener" target="_blank">#CCBYSA</a> <a href="https://mastodon.org.uk/tags/Mathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#Mathematics</a> <a href="https://mastodon.org.uk/tags/AppliedMathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#AppliedMathematics</a> <a href="https://mastodon.org.uk/tags/Physics" class="mention hashtag" rel="nofollow noopener" target="_blank">#Physics</a> <a href="https://mastodon.org.uk/tags/FreeSoftware" class="mention hashtag" rel="nofollow noopener" target="_blank">#FreeSoftware</a> <a href="https://mastodon.org.uk/tags/WxMaxima" class="mention hashtag" rel="nofollow noopener" target="_blank">#WxMaxima</a>

Khurram Wadee ✅When you start looking at <a href="https://mastodon.org.uk/tags/NonlinearWaves" class="mention hashtag" rel="nofollow noopener" target="_blank">#NonlinearWaves</a>, some of these principles no longer apply. For example, in the Korteweg-de Vries equation, which has <a href="https://mastodon.org.uk/tags/Soliton" class="mention hashtag" rel="nofollow noopener" target="_blank">#Soliton</a> 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 <a href="https://mastodon.org.uk/tags/nonlinearly" class="mention hashtag" rel="nofollow noopener" target="_blank">#nonlinearly</a>.3/4<a href="https://mastodon.org.uk/tags/Mathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#Mathematics</a> <a href="https://mastodon.org.uk/tags/AppliedMathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#AppliedMathematics</a> <a href="https://mastodon.org.uk/tags/Physics" class="mention hashtag" rel="nofollow noopener" target="_blank">#Physics</a>

katch wreck"The inherent stability of the <a href="https://mastodon.social/tags/terahertz" class="mention hashtag" rel="nofollow noopener" target="_blank">#terahertz</a> beat frequency between the signal and idler fields of an optical parametric oscillator is transferred to a microwave frequency of a Kerr <a href="https://mastodon.social/tags/soliton" class="mention hashtag" rel="nofollow noopener" target="_blank">#soliton</a> comb, and synchronization is achieved via a coupling <a href="https://mastodon.social/tags/waveguide" class="mention hashtag" rel="nofollow noopener" target="_blank">#waveguide</a> without the need for electronic locking."<a href="https://www.nature.com/articles/s41586-024-07136-2" rel="nofollow noopener" translate="no" target="_blank">https://www.nature.com/articles/s41586-024-07136-2</a>

Stargeezer SmithWhat's stranger than a <a href="https://social.linux.pizza/tags/blackhole" class="mention hashtag" rel="nofollow noopener" target="_blank">#blackhole</a> ? A <a href="https://social.linux.pizza/tags/Soliton" class="mention hashtag" rel="nofollow noopener" target="_blank">#Soliton</a>.<a href="https://www.space.com/black-holes-may-actually-be-tangles-in-space-time" rel="nofollow noopener" target="_blank">https://www.space.com/black-holes-may-actually-be-tangles-in-space-time</a>

Tech News WorldwideDomino Ring Machine Tips Tiles In a Never-ending Wave <a href="https://hackaday.com/2023/02/09/domino-ring-machine-tips-tiles-in-a-never-ending-wave/" rel="nofollow noopener" target="_blank">https://hackaday.com/2023/02/09/domino-ring-machine-tips-tiles-in-a-never-ending-wave/</a> <a href="https://aspiechattr.me/tags/mindstorms" class="mention hashtag" rel="nofollow noopener" target="_blank">#mindstorms</a> <a href="https://aspiechattr.me/tags/ToyHacks" class="mention hashtag" rel="nofollow noopener" target="_blank">#ToyHacks</a> <a href="https://aspiechattr.me/tags/dominos" class="mention hashtag" rel="nofollow noopener" target="_blank">#dominos</a> <a href="https://aspiechattr.me/tags/soliton" class="mention hashtag" rel="nofollow noopener" target="_blank">#soliton</a> <a href="https://aspiechattr.me/tags/domino" class="mention hashtag" rel="nofollow noopener" target="_blank">#domino</a> <a href="https://aspiechattr.me/tags/lego" class="mention hashtag" rel="nofollow noopener" target="_blank">#lego</a> <a href="https://aspiechattr.me/tags/Art" class="mention hashtag" rel="nofollow noopener" target="_blank">#Art</a>

Nalini JoshiOne of the great <a href="https://mathstodon.xyz/tags/mathematicians" class="mention hashtag" rel="nofollow noopener" target="_blank">#mathematicians</a> of the theory of integrable systems has passed away: Igor <a href="https://mathstodon.xyz/tags/Krichever" class="mention hashtag" rel="nofollow noopener" target="_blank">#Krichever</a> (1950-2022) was instrumental in developing algebro-geometric methods to construct higher <a href="https://mathstodon.xyz/tags/genus" class="mention hashtag" rel="nofollow noopener" target="_blank">#genus</a> solutions of <a href="https://mathstodon.xyz/tags/soliton" class="mention hashtag" rel="nofollow noopener" target="_blank">#soliton</a> equations 👉🏼 <a href="https://www.math.columbia.edu/~woit/wordpress/?p=13200" rel="nofollow noopener" target="_blank">https://www.math.columbia.edu/~woit/wordpress/?p=13200</a> . He gave a plenary talk at the <a href="https://mathstodon.xyz/tags/ICM2022" class="mention hashtag" rel="nofollow noopener" target="_blank">#ICM2022</a> 📽️ <a href="https://www.youtube.com/watch?v=LliT-96R1mQ&t=1529s" rel="nofollow noopener" target="_blank">https://www.youtube.com/watch?v=LliT-96R1mQ&t=1529s</a>

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