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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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.
|Additional Information:||©1980 The American Physical Society. Received 8 January 1980.|
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|Deposited By:||Tony Diaz|
|Deposited On:||30 Jul 2007|
|Last Modified:||18 Sep 2014 18:11|
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