Stability criterion for multicomponent solitary waves
Description
We obtain the most general matrix criterion for stability and instability of multicomponent solitary waves by considering a system of N incoherently coupled nonlinear Schrodinger equations. Soliton stability is studied as a constrained variational problem which is reduced to finite-dimensional linear algebra. We prove that unstable (all real and positive) eigenvalues of the linear stability problem for multicomponent solitary waves are connected with negative eigenvalues of the Hessian matrix....[Show more]
Collections | ANU Research Publications |
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Date published: | 2000 |
Type: | Journal article |
URI: | http://hdl.handle.net/1885/89601 |
Source: | Physical Review E |
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