Scaling of Waves between Monotone Slopes

Groesen, E. van; Shabrina, Ayu; Andonowati, A.

doi:10.2139/ssrn.4537317

Cited by 1 publication

(3 citation statements)

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“…The spatial NLS equation with solitons on a nonvanishing background has been used as a model for deterministic freak wave generation in intermediate water depth at MARIN's high-speed wave basin in Wageningen, the Netherlands [77,87,88]. The experiments confirm the occurrence of a phase singularity and its related phenomenon of wavefront dislocation at the location where the wave signals reach maximum amplitude, as predicted theoretically [82].…”

Section: Applications In Surface Gravity Wavesmentioning

confidence: 68%

“…Scientists finally achieved the experimental realization of BECs, marking a historic achievement in physics. Utilizing sophisticated techniques like magnetic trapping and laser cooling, researchers successfully brought vapors of rubidium 87 Rb, lithium 7 Li, and sodium 23 Na atoms into the coveted BEC state [185][186][187]. This monumental discovery opened the door to a new era of exploration in quantum physics.…”

Section: Applications In Becmentioning

confidence: 99%

“…The initial success with 87 Rb, 7 Li, and 23 Na ignited further exploration, pushing the boundaries of BEC research with diverse atomic species. Physicists turned their attention to dilute hydrogen gas [188,189], metastable helium 4 He * [190,191], and even elements like potassium 41 K, cesium 133 Cs, and another rubidium isotope, rubidium 85 Rb [192][193][194].…”

Section: Applications In Becmentioning

confidence: 99%

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Modeling Wave Packet Dynamics and Exploring Applications: A Comprehensive Guide to the Nonlinear Schrödinger Equation

Karjanto

2024

Mathematics

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The nonlinear Schrödinger (NLS) equation stands as a cornerstone model for exploring the intricate behavior of weakly nonlinear, quasi-monochromatic wave packets in dispersive media. Its reach extends across diverse physical domains, from surface gravity waves to the captivating realm of Bose–Einstein condensates. This article delves into the dual facets of the NLS equation: its capacity for modeling wave packet dynamics and its remarkable breadth of applications. We illuminate the derivation of the NLS equation through both heuristic and multiple-scale approaches, underscoring how distinct interpretations of physical variables and governing equations give rise to varied wave packet dynamics and tailored values for dispersive and nonlinear coefficients. To showcase its versatility, we present an overview of the NLS equation’s compelling applications in four research frontiers: nonlinear optics, surface gravity waves, superconductivity, and Bose–Einstein condensates. This exploration reveals the NLS equation as a powerful tool for unifying and understanding a vast spectrum of physical phenomena.

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Section: Applications In Surface Gravity Wavesmentioning

confidence: 68%