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Pitchfork bifurcations and linear stablity of solitary waves in coupled nonlinear Schr\"odinger equations

山添祥太郎 氏

2018年5月31日(木) 13時00分

総合研究10号館317号室(セミナー室)

We study pitchfork bifurcations and linear stability of solitary waves in coupled nonlinear Schr\"odinger equations on the line. The coupled equations possess a solution of which one component represents a solitary wave to a single equation and other is zero. We call the solution a fundamental solitary wave. It is known that pitchfork bifurcations of the fundamental solitary waves occur successively. We utilize the Evans function approach to determine the linear stability of bifurcated solitary waves. This is a joint work with K. Yagasaki.

Last modified: Mon May 28 13:48:14 JST 2018