Embedded solitons in the third-order nonlinear Schrödinger equation
نویسندگان
چکیده
منابع مشابه
Dynamics of solitons and quasisolitons of the cubic third-order nonlinear Schrödinger equation.
The dynamics of soliton and quasisoliton solutions of the cubic third-order nonlinear Schrödinger equation is studied. Regular solitons exist due to a balance between the nonlinear terms and (linear) third-order dispersion; they are not important at small alpha(3) (alpha(3) is the coefficient in the third derivative term) and vanish at alpha(3)-->0. The most essential, at small alpha(3), is a q...
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The nonlinear Schrödinger 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 stabl...
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ژورنال
عنوان ژورنال: Physica Scripta
سال: 2008
ISSN: 0031-8949,1402-4896
DOI: 10.1088/0031-8949/77/06/065401