Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1139514 | Mathematics and Computers in Simulation | 2012 | 9 Pages |
Abstract
The modulational instability of perturbed plane-wave solutions of the vector nonlinear Schrödinger (VNLS) equation is examined in the presence of multiple forms of dissipation. We establish that all constant-magnitude solutions of the dissipative VNLS equation are less unstable than their counterparts in the conservative VNLS equation. We also present three families of decreasing-in-magnitude plane-wave solutions to this dissipative VNLS equation. We establish that if certain forms of dissipation are present, then all exponentially-decaying plane-wave solutions with spatial dependence are linearly unstable while those without spatial dependence are linearly stable.
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Authors
John D. Carter,