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Auto-Hodograph Transformations for a Hierarchy of Nonlinear Evolution Equations

✍ Scribed by N. Euler; M.L. Gandarias; M. Euler; O. Lindblom

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 64 KB
Volume: 257
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.7190

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✦ Synopsis

We introduce nonlocal auto-hodograph transformations for a hierarchy of nonlinear evolution equations. This is accomplished by composing nonlocal transfor-Ž . mations one of which is a hodograph transformation which linearize the given equations. This enables one to construct sequences of exact solutions for any equation belonging to the hierarchy.

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