## Abstract We prove the existence of infinitely many nonβzero timeβperiodic solutions (breathers) to the dispersive wave equation of the form magnified image which are localized in the spatial variable, that is magnified image The main tool employed is the concentration compactness principle of P
NON-LINEAR, NON-PLANAR TRANSVERSE FREE VIBRATIONS OF A CONSTANT-TENSION STRING
β Scribed by H.P.W. Gottlieb
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 451 KB
- Volume
- 191
- Category
- Article
- ISSN
- 0022-460X
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β¦ Synopsis
Non-planar non-linear free transverse vibrations of a constant-tension string are investigated. Solutions for various whirling-type motions are found, including precessing elliptical whirling of an approximate sine arc and exact solutions for circular whirling involving elliptic integrals and embracing higher modes.
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