This elimination of the vertical coordinate was first done by Joseph Boussinesq in 1871, to construct an approximate solution for the solitary wave ( or wave of translation ).
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In fluid dynamics, the "'Boussinesq approximation "'for water waves is an approximation valid for weakly non-linear and solitary wave or soliton ).
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In physical optics or wave optics, a "'vector soliton "'is a solitary wave with multiple components coupled together that maintains its shape during propagation.
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Inventor of the Dimension Pliers, as well as the Solitary Wave Riser " Disc X ", which was inspired by the being Nebula from " Betterman ".
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For | c |, the solitary waves have a positive crest elevation and travel in the positive x-direction with velocity 1 / ( 1-c ^ 2 ).
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Then, Menyuk described vector solitons as two solitons ( more accurately called solitary waves ) with orthogonal polarizations which co-propagate together without dispersing their energy and while retaining their shapes.
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But Kruskal and Zabusky made the startling discovery of a " solitary wave " solution of the KdV equation that propagates nondispersively and even regains its shape after a collision with other such waves.
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The cloud can also be described as a solitary wave or a soliton or an undular bore, which is a wave that has a single crest and moves without changing speed or shape.
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This discovery gave the modern basis for understanding of the soliton phenomenon : the solitary wave is recreated in the outgoing state because this is the only way to satisfy all of the conservation laws.
30.
The "'Morning Glory cloud "'is a rare meteorological phenomenon consisting of a low-level atmospheric solitary wave and associated cloud, occasionally observed in different locations around the world.
