Airy–Bessel modulated self-similar rogue waves in a nonlinear Schrödinger equation model

De, Kanchan Kumar; Kaur, Harleen; Goyal, Amit; Kumar, C. N.; Raju, Thokala Soloman

doi:10.1080/09500340.2014.961985

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Self-similarity and The Self-composition Operator (Sco)1

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2021

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“…This kind of Bessel functions describe a significant number of problems in physics, because they demonstrate a damped oscillating behavior, commonly met in nature. Additionally, it is known that these functions display the unique behavior of self-similarity [15,16].…”

Section: Self-similarity and The Self-composition Operator (Sco)mentioning

confidence: 99%

Engendering self-similarity in Boson field by a natural feedback process

Contoyiannis¹,

Papadopoulos²,

Kampitakis³

et al. 2021

Phys. Scr.

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In this work we suggest that the production of bosons (mesons) in a cascade process such as the one provided by the Schwinger and Bjorken models for the quark confinement, can be considered as a natural feedback process. Within this feedback process, a recurrent operator acts on the initial boson field function, which is mathematically expressed by some type of the zero-order Bessel function. The result of this recurrent operation is a temporal sequence of field structures that demonstrates the property of self-similarity. Each structure is part of the boson field function that results after a number of as many iterations as the structures that appear.to the outside (large x 1 ), as time proceeds. This picture in x , t 1 space-time is an out-of-the-equilibrium process, RECEIVED

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Section: Self-similarity and The Self-composition Operator (Sco)mentioning

confidence: 99%