On the susceptibility of bright nonlinear Schrödinger solitons to long-wave transverse instability

@inproceedings{Bridges2004OnTS,
  title={On the susceptibility of bright nonlinear Schr{\"o}dinger solitons to long-wave transverse instability},
  author={Thomas J. Bridges},
  year={2004}
}
A new theory for transverse instability of bright solitons of equations of nonlinear Schrödinger (NLS) type is presented, based on a natural deformation of the solitons into a four-parameter family. This deformation induces a set of four diagnostic functionals which encode information about transverse instability. These functionals include the deformed power, the deformed momentum and two new functionals. The main result is that a sufficient condition for long-wave transverse instability is… CONTINUE READING
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