Numerical Computations for Bifurcations and Spectral Stability of Solitary Waves in Coupled Nonlinear Schrödinger Equations

Kazuyuki Yagasaki, Shotaro Yamazoe

We numerically study solitary waves in the coupled nonlinear Schrödinger equations. We detect pitchfork bifurcations of the fundamental solitary wave and compute eigenvalues and ei…