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About: Vakhitov–Kolokolov stability criterion     Goto   Sponge   NotDistinct   Permalink

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Type: yago:WikicatSolitonsyago:Abstraction100002137yago:Event100029378yago:Happening107283608yago:Movement107309781yago:PsychologicalFeature100023100yago:YagoPermanentlyLocatedEntityyago:Soliton107346344yago:TravelingWave107347051yago:Wave107345593 New Facet based on Instances of this Class

The Vakhitov–Kolokolov stability criterion is a condition for linear stability (sometimes called spectral stability) of solitary wave solutions to a wide class of Hamiltonian systems, named after Soviet scientists Aleksandr Kolokolov (Александр Александрович Колоколов) and Nazib Vakhitov (Назиб Галиевич Вахитов).The condition for linear stability of a solitary wave with frequency has the form where is the charge (or momentum) of the solitary wave,conserved by Noether's theorem due to U(1)-invariance of the system.