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The method of multiple scales and non-linear dispersive waves

โœ Scribed by Nayfeh, Ali Hasan (author);Hassan, Sayed D. (author)

Book ID
120111402
Publisher
Cambridge University Press
Year
1971
Tongue
English
Weight
247 KB
Volume
48
Category
Article
ISSN
0022-1120

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The multiple scales method, developed for the systems with small non-linearities, is extended to the case of strongly non-linear self-excited systems. Two types of nonlinearities are considered: quadratic and cubic. The solutions are expressed in terms of Jacobian elliptic functions. Higher order ap