✦ LIBER ✦

Some comments on the rational solutions of the Zakharov-Schabat equations

✍ Scribed by V. B. Matveev

Book ID: 104758401
Publisher: Springer
Year: 1979
Tongue: English
Weight: 287 KB
Volume: 3
Category: Article
ISSN: 0377-9017
DOI: 10.1007/bf00401932

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✦ Synopsis

We describe a family of the rational solutions of the Zakharov-Schabat equations. This family is characterized by extremely simple superposition principle, following directly from the Darboux-invariance of the Zakharov-Schabat equations proved in the works [1,4]. Particularly we present an infinite sequence of polynomials Pn(x, Y, t, t4 ..... tm), m <<, n, so that the formula

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