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. |
| Issue or Number: | 17 |
| 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: | 18 Sep 2014 18:11 |
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