Orbital Stability of Solitary Wave Solutions for an Interaction Equation of Short and Long Dispersive Waves
نویسندگان
چکیده
منابع مشابه
Complexition and solitary wave solutions of the (2+1)-dimensional dispersive long wave equations
In this paper, the coupled dispersive (2+1)-dimensional long wave equation is studied. The traveling wave hypothesis yields complexiton solutions. Subsequently, the wave equation is studied with power law nonlinearity where the ansatz method is applied to yield solitary wave solutions. The constraint conditions for the existence of solitons naturally fall out of the derivation of the soliton so...
متن کاملStability of Solitary Waves for a Nonlinearly Dispersive Equation
Solitary-wave solutions of a nonlinearly dispersive equation are considered. It is found that solitary waves are peaked or smooth waves, depending on the wave speed. The stability of the smooth solitary waves also depends on the wave speed. Orbital stability is proved for some wave speeds, while instability is proved for others.
متن کاملcomplexition and solitary wave solutions of the (2+1)-dimensional dispersive long wave equations
in this paper, the coupled dispersive (2+1)-dimensional long wave equation is studied. the traveling wave hypothesis yields complexiton solutions. subsequently, the wave equation is studied with power law nonlinearity where the ansatz method is applied to yield solitary wave solutions. the constraint conditions for the existence of solitons naturally fall out of the derivation of the soliton so...
متن کاملcomplexition and solitary wave solutions of the (2+1)-dimensional dispersive long wave equations
in this paper, the coupled dispersive (2+1)-dimensional long wave equation is studied. the traveling wave hypothesis yields complexiton solutions. subsequently, the wave equation is studied with power law nonlinearity where the ansatz method is applied to yield solitary wave solutions. the constraint conditions for the existence of solitons naturally fall out of the derivation of the soliton so...
متن کاملTransverse linear instability of solitary waves for coupled long-wave-short-wave interaction equations
In this paper, we investigate the transverse linear instability of one-dimensional solitary wave solutions of the coupled system of two-dimensional long-wave-short-wave interaction equations. We show that the one-dimensional solitary waves are linearly unstable to perturbations in the transverse direction if the coefficient of the term associated with transverse effects is negative. This transv...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2001
ISSN: 0022-0396
DOI: 10.1006/jdeq.2000.3923