About: Symmetry reductions and exact solutions of Lax integrable 3-dimensional systems     Goto   Sponge   NotDistinct   Permalink

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Description
  • We present a complete description of 2-dimensional equations that arise as symmetry reductions of four 3- dimensional Lax-integrable equations: (1) the universal hierarchy equation u(yy) = u(z)u(xy)- u(y)u(xz); (2) the 3D rdDym equation u(ty) = u(x)u(xy)- u(y)u(xx); (3) the equation u(ty) = u(t)u(xy)- u(y)u(tx), which we call modified Veronese web equation; (4) Pavlov's equation u(yy) = u(tx) + u(y)u(xx)- u(x)u(xy).
  • We present a complete description of 2-dimensional equations that arise as symmetry reductions of four 3- dimensional Lax-integrable equations: (1) the universal hierarchy equation u(yy) = u(z)u(xy)- u(y)u(xz); (2) the 3D rdDym equation u(ty) = u(x)u(xy)- u(y)u(xx); (3) the equation u(ty) = u(t)u(xy)- u(y)u(tx), which we call modified Veronese web equation; (4) Pavlov's equation u(yy) = u(tx) + u(y)u(xx)- u(x)u(xy). (en)
Title
  • Symmetry reductions and exact solutions of Lax integrable 3-dimensional systems
  • Symmetry reductions and exact solutions of Lax integrable 3-dimensional systems (en)
skos:prefLabel
  • Symmetry reductions and exact solutions of Lax integrable 3-dimensional systems
  • Symmetry reductions and exact solutions of Lax integrable 3-dimensional systems (en)
skos:notation
  • RIV/47813059:19610/14:#0000446!RIV15-MSM-19610___
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  • P(EE2.3.20.0002)
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  • 4
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  • 48882
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  • RIV/47813059:19610/14:#0000446
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  • Partial differential equations; symmetry reductions; solutions (en)
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  • GB - Spojené království Velké Británie a Severního Irska
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  • [2E9E9631463F]
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  • Journal of Nonlinear Mathematical Physics
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  • 21
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  • Vojčák, Petr
  • Baran, Hynek
  • Morozov, Oleg I.
  • Krasil'shchik, Iosif S.
http://linked.open...ain/vavai/riv/wos
  • 000344240300009
issn
  • 1402-9251
number of pages
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  • 10.1080/14029251.2014.975532
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  • 19610
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