Advertisement

Euclid and Galilei Groups and Nonlinear PDEs for Scalar Fields

  • W. I. Fushchich
  • W. M. Shtelen
  • N. I. Serov
Part of the Mathematics and Its Applications book series (MAIA, volume 246)

Abstract

In the present chapter we describe a wide class of nonlinear PDEs for scalar fields invariant under Euclid, Galilei, or larger groups. For some of such equations we construct multiparameter families of exact solutions.

Keywords

Scalar Field Heat Equation Arbitrary Constant Nonlinear PDEs Nonlinear Schrodinger Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media Dordrecht 1993

Authors and Affiliations

  • W. I. Fushchich
    • 1
  • W. M. Shtelen
    • 1
  • N. I. Serov
    • 1
  1. 1.Institute of MathematicsKievUkraine

Personalised recommendations