Instabilities of multi-hump vector solitons in coupled nonlinear Schroedinger equations

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dc.creatorPelinovsky, Dmitry
dc.creatorYang, Jianke
dc.date2005-06-17
dc.date.accessioned2026-07-07T05:36:32Z
dc.date.available2026-07-07T05:36:32Z
dc.descriptionSpectral stability of multi-hump vector solitons in the Hamiltonian system of coupled nonlinear Schrödinger (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.
dc.identifierhttps://arxiv.org/abs/nlin/0506034
dc.identifierhttp://arxiv.org/abs/nlin/0506034
dc.identifierStud. Appl. Math. 115, 109-137 (2005)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/81023
dc.subjectPattern Formation and Solitons
dc.titleInstabilities of multi-hump vector solitons in coupled nonlinear Schroedinger equations
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