Nonlinear waves in physical systems are wave phenomena governed by equations in which the restoring forces or constitutive relations depend nonlinearly on the field amplitudes, leading to amplitude-dependent propagation characteristics and interactions. Unlike linear waves, they can exhibit self-steepening, shock formation, soliton generation, modulational instability, and harmonic generation. Mathematically, they arise from nonlinear partial differential equations such as the Korteweg–de Vries, nonlinear Schrödinger, sine-Gordon, and nonlinear elastic or hydrodynamic equations. Nonlinear waves play a central role in fluid dynamics, plasma physics, nonlinear optics, condensed matter, and elastic media, where they mediate energy transport, pattern formation, and coherent structure dynamics.
Reservoir computing (RC) has a few benefits over other artificial neural networks, including the reservoir that gives this technique its name. The reservoir functions mainly to nonlinearly transform input data more quickly ...
Condensed Matter
Oct 15, 2024
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A recent study has unveiled a transformative nonlinear optical metasurface technology. This new technology, characterized by structures smaller than the wavelength of light, paves the way for significant advancements in next-generation ...
Optics & Photonics
Sep 27, 2024
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115
Scientists have discovered that ocean waves may become far more extreme and complex than previously imagined.
General Physics
Sep 18, 2024
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The invention of optical frequency combs revolutionized frequency metrology and time-keeping. Miniaturization of such combs onto photonic chips, primarily leveraging the microresonator Kerr soliton frequency comb, expands ...
Optics & Photonics
Sep 4, 2024
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Terahertz (THz) waves and THz technologies have gradually opened a new style for communications, cloud-based storage/computing, information contest, and medical tools. With the advancement of THz technologies, studies on ...
Optics & Photonics
Sep 2, 2024
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Dr. Asela Abeya, of SUNY Poly faculty in the Department of Mathematics and Physics, has collaborated with peers at the University at Buffalo and Rensselaer Polytechnic Institute on a research paper titled "On Maxwell-Bloch ...
General Physics
Aug 1, 2024
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Nonlinear optics is a branch of optics that deals with the complex nonlinear relationships between the optical response of the medium and the incident light when it interacts with the optical medium. Currently, nonlinear ...
Optics & Photonics
Jun 14, 2024
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Tunable ultrafast lasers with adjustable parameters, such as wavelength, intensity, pulse width and laser states are desirable as next-generation intelligent light sources. Due to complex nonlinear effects within the ultrafast ...
Optics & Photonics
Apr 10, 2024
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Topological solitons can be found in many places and at many different length scales. For example, they take the form of kinks in coiled telephone cords and large molecules such as proteins. At a very different scale, a black ...
General Physics
Mar 20, 2024
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102
Solitons are quasiparticles that propagate along a non-dissipative wave. Put another way, they are waveforms that hold their shape as they move—like a single wave moving across the surface of a pond. They can also show ...
Optics & Photonics
Jan 31, 2024
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