Department of Mathematics
By using spectral methods, we present seven classes of stable and unstable structures that occur in a dissipative media. By varying parameters and initial conditions we find ranges of existence of stable structures (spinning elliptic, pulsating, stationary, organized exploding), and unstable structures (filament, disorganized exploding, creeping). By varying initial conditions, vorticity, and parameters of the equation, we find a reacher behavior of solutions in the form of creeping-vortex (propellers), spinning rings and spinning “bean-shape” solitons. Each class differentiates from the other by distinctive features of their shape and energy evolution, as well as domain of existence.
14th International Conference on Geometry, Integrability and Quantization
Number of Pages
Scholarly Commons Citation
Vandamme, C., & Mancas, S. C. (2012). 2D Novel Structures Along an Opitcal Fiber. , (). Retrieved from https://commons.erau.edu/publication/860