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Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics

  • Book
  • © 1993

Overview

Authors:
  1. W. I. Fushchich

    1. Institute of Mathematics, Kiev, Ukraine

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  2. W. M. Shtelen

    1. Institute of Mathematics, Kiev, Ukraine

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  3. N. I. Serov

    1. Institute of Mathematics, Kiev, Ukraine

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

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-xxiv
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  2. Poincare-Invariant Nonlinear Scalar Equations

    • W. I. Fushchich, W. M. Shtelen, N. I. Serov
    Pages 1-54

  3. Systems of Poincare-invariant Nonlinear PDEs

    • W. I. Fushchich, W. M. Shtelen, N. I. Serov
    Pages 55-146

  4. Euclid and Galilei Groups and Nonlinear PDEs for Scalar Fields

    • W. I. Fushchich, W. M. Shtelen, N. I. Serov
    Pages 147-198

  5. Systems of PDEs Invariant Under Galilei Group

    • W. I. Fushchich, W. M. Shtelen, N. I. Serov
    Pages 199-276

  6. Some Special Questions

    • W. I. Fushchich, W. M. Shtelen, N. I. Serov
    Pages 277-363

  7. Back Matter

    Pages 364-435
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Keywords

About this book

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.

Authors and Affiliations

  • Institute of Mathematics, Kiev, Ukraine

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

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