Graduate Texts in Mathematics. 107. New York: Springer-Verlag. xxviii, 513 p. DM 108.00; sfr 108.00 (1993).

This is the second Springer-Verlag edition. The first Springer-Verlag edition from 1986 was very thoroughly and positively reviewed in (1986;

Zbl 0588.22001). Meanwhile in 1989 there was published the Russian translation (edited by A. B. Shabat) by Mir, Moscow (1989;

Zbl 0743.58003).
From the author’s Preface to the second Springer-Verlag edition.: “The one substantial addition to the second edition is a short presentation of the calculus of pseudo-differential operators and their use in Shabat’s theory of formal symmetries, which provides a powerful, algorithmic method for determining the integrability of evolution equations”.