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I want to know the major difference between oscillon and soliton in terms of radiating energy with respect to time and position. And what about their localization?

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I'm not really sure what you mean by "radiating energy with respect to time and position", could you try to make it clearer? – Nathaniel Feb 23 at 17:50
I mean if oscillon or solition radiates energy then will they depends on time? – ghost Feb 23 at 18:16
Clearly if something radiates then you have time dependence, yes. – alexarvanitakis Feb 24 at 4:18
This might help (Nature Article): Oscillons, solitons, and domain walls in arrays of nonlinear plasmonic nanoparticles nature.com/srep/2012/121119/srep00873/full/srep00873.html – Raindrop Feb 24 at 7:21

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Solitons do NOT radiate energy, and are localised. One definition of soliton is:

"Solitons are non-singular, static, finite energy solutions of the classical field equations."

(taken from Maciej Dunajski's book 'Solitons, Instantons, and Twistors').

I've never heard of "oscillons" before.

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