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Stability Criterion for Multi-component Solitary Waves by Pelinovsky, Dmitry E.; Kivshar, Yuri S. is a scholarly article available to read on EtoBox.

What is Stability Criterion for Multi-component Solitary Waves about?

We obtain the most general matrix criterion for stability and instability of multi-component solitary waves 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 multi-component solitary waves are connected with negative eigenvalues of the Hessian matrix, the latter is constructed for the energetic surface of N-component spatially localized stationary solutions.

Author

Pelinovsky, Dmitry E.; Kivshar, Yuri S.

Published

2000

Language

EN