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.
Nonlinear optical dynamics—intensity-dependent response of light upon interaction with materials under high-intensity light sources—are of huge significance in modern photonics, finding applications in fields ranging from ...
Optics & Photonics
Oct 31, 2025
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University of Queensland researchers have created a microscopic "ocean" on a silicon chip to miniaturize the study of wave dynamics. The device, made at UQ's School of Mathematics and Physics, uses a layer of superfluid helium ...
Soft Matter
Oct 23, 2025
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129
Solitonic waves—waves that keep their shape and direction of motion for a long time—have intrigued physicists for almost two centuries. In real-world circumstances, these waves eventually die out due to energy loss. A team ...
Condensed Matter
Aug 19, 2025
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A research team in Korea has experimentally demonstrated, for the first time in the world, a nonlinear wave phenomenon that changes its frequency—either rising or falling—depending on which direction the waves come from.
General Physics
Jul 25, 2025
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By breaking a decades-old paradigm and rethinking the role that the dimension of time plays in physics, researchers from the University of Rostock and the University of Birmingham have discovered novel flashes of light that ...
General Physics
Apr 23, 2025
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Rapidly increasing data traffic is placing ever greater demands on the capacity of communication systems. In an article titled "Ultra-broadband optical amplification using nonlinear integrated waveguides" published in Nature, ...
Optics & Photonics
Apr 9, 2025
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Since the invention of the laser in 1960, nonlinear optics has aimed to broaden light's spectral range and create new frequency components. Among the various techniques, supercontinuum (SC) generation stands out for its ability ...
Optics & Photonics
Jan 13, 2025
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The reliable control of traveling waves emerging from the coupling of oscillations and diffusion in physical, chemical and biological systems is a long-standing challenge within the physics community. Effective approaches ...
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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63
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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