W. I. Fushchich

Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics - Mathematics and Its Applications W. I. Fushchich 1st Ed. Softcover of Orig. Ed. 1993 edition

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.