Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics

  • W. I. Fushchich
  • W. M. Shtelen
  • N. I. Serov

Part of the Mathematics and Its Applications book series (MAIA, volume 246)

Table of contents

  1. Front Matter
    Pages i-xxiv
  2. W. I. Fushchich, W. M. Shtelen, N. I. Serov
    Pages 1-54
  3. W. I. Fushchich, W. M. Shtelen, N. I. Serov
    Pages 55-146
  4. W. I. Fushchich, W. M. Shtelen, N. I. Serov
    Pages 147-198
  5. W. I. Fushchich, W. M. Shtelen, N. I. Serov
    Pages 199-276
  6. W. I. Fushchich, W. M. Shtelen, N. I. Serov
    Pages 277-363
  7. Back Matter
    Pages 364-435

About this book

Introduction

by spin or (spin s = 1/2) field equations is emphasized because their solutions can be used for constructing solutions of other field equations insofar as fields with any spin may be constructed from spin s = 1/2 fields. A brief account of the main ideas of the book is presented in the Introduction. The book is largely based on the authors' works [55-109, 176-189, 13-16, 7*-14*,23*, 24*] carried out in the Institute of Mathematics, Academy of Sciences of the Ukraine. References to other sources is not intended to imply completeness. As a rule, only those works used directly are cited. The authors wish to express their gratitude to Academician Yu.A. Mitropoi­ sky, and to Academician of Academy of Sciences of the Ukraine O.S. Parasyuk, for basic support and stimulation over the course of many years; to our cowork­ ers in the Department of Applied Studies, LA. Egorchenko, R.Z. Zhdanov, A.G. Nikitin, LV. Revenko, V.L Lagno, and I.M. Tsifra for assistance with the manuscript.

Keywords

Theoretical physics algebra calculus differential equation mathematical physics operator partial differential equation transformation

Authors and affiliations

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

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-017-3198-0
  • Copyright Information Springer Science+Business Media B.V. 1993
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-4244-6
  • Online ISBN 978-94-017-3198-0
  • About this book