A new integrable 3+1 dimensional generalization of the Burgers equation

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dc.creatorRudnev, M.
dc.creatorYurov, A. V.
dc.creatorYurov, V. A.
dc.date2004-11-29
dc.date.accessioned2026-07-07T05:36:06Z
dc.date.available2026-07-07T05:36:06Z
dc.descriptionA new nonlinear 3+1 dimensional evolution equation admitting the Lax pair is presented. In the case of one spatial dimension, the equation reduces to the Burgers equation. A method of construction of exact solutions, based on a class of discrete symmetries of the former equation is developed. These symmetries reduce to the Cole-Hopf transformation in one-dimensional limit. Some exact solutions are analyzed, in the physical context of spatial dissipative structures and shock wave dressing.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/nlin/0411061
dc.identifierhttp://arxiv.org/abs/nlin/0411061
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80881
dc.subjectExactly Solvable and Integrable Systems
dc.titleA new integrable 3+1 dimensional generalization of the Burgers equation
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