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On New Reduction of Nonlinear Wave Type Equations via Classical Symmetry Method

  • Joanna ZonenbergEmail author
  • Ivan Tsyfra
Conference paper
Part of the Trends in Mathematics book series (TM)

Abstract

The paper is devoted to the construction of an ansatz for the first derivatives of an unknown function which reduces a scalar partial differential equation with three independent variables to a system of equations by using the operators of classical point symmetry. The method is applied to nonlinear wave equation with cubic nonlinearity, Liouville equation and Kadomtsev– Petviashvili equation.

Keywords

Reduction of nonlinear equations symmetry invariant 

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Institute of MathematicsUniversity of BiałystokBiałystokPoland
  2. 2.Institute of GeophysicsNational Academy of Sciences of UkraineKievUkraine

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