Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2005-06-17
Stud. Appl. Math. 115, 109-137 (2005)
Nonlinear Sciences
Pattern Formation and Solitons
Scientific paper
Spectral stability of multi-hump vector solitons in the Hamiltonian system of coupled nonlinear Schr\"{o}dinger (NLS) equations is investigated both analytically and numerically. Using the closure theorem for the negative index of the linearized Hamiltonian, we classify all possible bifurcations of unstable eigenvalues in the systems of coupled NLS equations with cubic and saturable nonlinearities. We also determine the eigenvalue spectrum numerically by the shooting method. In case of cubic nonlinearities, all multi-hump vector solitons in the non-integrable model are found to be linearly unstable. In case of saturable nonlinearities, stable multi-hump vector solitons are found in certain parameter regions, and some errors in the literature are corrected.
Pelinovsky Dmitry
Yang Jianke
No associations
LandOfFree
Instabilities of multi-hump vector solitons in coupled nonlinear Schroedinger equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Instabilities of multi-hump vector solitons in coupled nonlinear Schroedinger equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Instabilities of multi-hump vector solitons in coupled nonlinear Schroedinger equations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-448291