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Bifurcation and symmetry breaking in nonlinear dispersive waves

Saffman, Philip G. and Yuen, Henry C. (1980) Bifurcation and symmetry breaking in nonlinear dispersive waves. Physical Review Letters, 44 (17). pp. 1097-1100. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:SAFprl80

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Abstract

The equation governing four-wave interactions in a nonlinear dispersive system is studied. It is shown that a nonlinear steady-state plane wave can bifurcate into nonplanar steady-state solutions. In the case of an isotropic medium, the bifurcation is degenerate and the bifurcated solutions may preserve or break the symmetry. An example is given of a symmetry-breaking solution for deep-water gravity waves and its stability is discussed.


Item Type:Article
Additional Information:©1980 The American Physical Society. Received 8 January 1980.
Record Number:CaltechAUTHORS:SAFprl80
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:SAFprl80
Alternative URL:http://dx.doi.org/10.1103/PhysRevLett.44.1097
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:7772
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:30 Jul 2007
Last Modified:26 Dec 2012 09:34

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