Journal
STUDIES IN APPLIED MATHEMATICS
Volume 111, Issue 3, Pages 359-375Publisher
BLACKWELL PUBLISHERS
DOI: 10.1111/1467-9590.t01-1-00238
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The nonlinear Schrodinger equation with a third-order dispersive term is considered. Infinite families of embedded solitons, parameterized by the propagation velocity, are found through a gauge transformation. By applying this transformation, an embedded soliton can acquire any velocity above a certain threshold value. It is also shown that these families of embedded solitons are linearly stable, but nonlinearly semi-stable.
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