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Symmetry reductions and exact solutions of Lax integrable 3-dimensional systems

Result 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).

Keywords

Partial differential equationssymmetry reductionssolutions

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Symmetry reductions and exact solutions of Lax integrable 3-dimensional systems

  • Original language 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).

  • Czech name

  • Czech description

Classification

  • Type

    Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

Others

  • Publication year

    2014

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Journal of Nonlinear Mathematical Physics

  • ISSN

    1402-9251

  • e-ISSN

  • Volume of the periodical

    21

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    29

  • Pages from-to

    643-671

  • UT code for WoS article

    000344240300009

  • EID of the result in the Scopus database

Basic information

Result type

Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

Jx

CEP

BA - General mathematics

Year of implementation

2014