stability of the nls equation with viscosity effect
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ID: 231443
2011
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Abstract
A nonlinear Schrödinger (NLS) equation with an effect of viscosity is derived from a Korteweg-de Vries (KdV) equation modified with viscosity using the method of multiple time scale. It is well known that the plane-wave solution
of the NLS equation exhibits modulational instability phenomenon. In this paper, the
modulational instability of the plane-wave solution of the NLS equation modified with
viscosity is investigated. The corresponding modulational dispersion relation is expressed
as a quadratic equation with complex-valued coefficients. By restricting the modulational
wavenumber into the case of narrow-banded spectra, it is observed that a type of dissipation,
in this case the effect of viscosity, stabilizes the modulational instability, as confirmed by earlier findings.
| Reference Key |
karjanto2011journalstability
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|---|---|
| Authors | ;N. Karjanto;K. M. Tiong |
| Journal | Chemico-biological interactions |
| Year | 2011 |
| DOI |
10.1155/2011/863161
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| URL | |
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