Journal article
Non-linear Evolution of the Transverse Instability of Plane-Envelope Solitons
The nonlinear evolution of the transverse instability of plane envelope soliton solutions of the nonlinear Schrödinger equation is investigated. For the case where the spatial derivatives in the two‐dimensional nonlinear Schrödinger equation are elliptic a critical transverse wavenumber is found above which the soliton is stable.
Application of the multiple time scale method near this critical transverse wavenumber gives a dynamical equation for the nonlinear evolution of the transverse instability. Nonlinearity is found to enhance the growth of the linearly unstable mode. The results are discussed in connection with soliton collapse.
Language: | English |
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Publisher: | American Institute of Physics |
Year: | 1983 |
Pages: | 1279-1287 |
ISSN: | 10897666 , 10706631 , 21634998 and 00319171 |
Types: | Journal article |
DOI: | 10.1063/1.864288 |
ORCIDs: | Juul Rasmussen, Jens |