Stability of plane-wave solutions to a dissipative generalization of the vector nonlinear Schr(o)din

来源 :International Conference Nonlinear Waves-Theory and Applicat | 被引量 : 0次 | 上传用户:wyakl1314
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  The vector nonlinear Schr(o)dinger (VNLS) equation can be used as a model for the evolution of a uniform train of surface waves with a two dimensional, bi-periodic surface pattern propagating on deep water.Such wave trains are linearly unstable.The VNLS equation does not include any dissipative terms.When the VNLS equation is modified to include a specific form of dissipation, then the corresponding wave train is linearly stable [1].We examine the VNLS equation with multiple forms of dissipation [2].We study the stability of the corresponding plane-wave solutions.This is joint work with Wilhelmina Chik.
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