Bifurcation and Symmetry Breaking in Nonlinear Dispersive Waves
- 28 April 1980
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 44 (17), 1097-1100
- https://doi.org/10.1103/physrevlett.44.1097
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.Keywords
This publication has 2 references indexed in Scilit:
- Evolution of a random inhomogeneous field of nonlinear deep-water gravity wavesWave Motion, 1980
- Topics in Stability and Bifurcation TheoryPublished by Springer Nature ,1973