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Nonlinear Sciences > Exactly Solvable and Integrable Systems

arXiv:2411.08787 (nlin)
[Submitted on 13 Nov 2024]

Title:Stability analysis of breathers for coupled nonlinear Schrodinger equations

Authors:Liming Ling, Dmitry E. Pelinovsky, Huajie Su
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Abstract:We investigate the spectral stability of non-degenerate vector soliton solutions and the nonlinear stability of breather solutions for the coupled nonlinear Schrodinger (CNLS) equations. The non-degenerate vector solitons are spectrally stable despite the linearized operator admits either embedded or isolated eigenvalues of negative Krein signature. The nonlinear stability of breathers is obtained by the Lyapunov method with the help of the squared eigenfunctions due to integrability of the CNLS equations.
Comments: 59 pages
Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Dynamical Systems (math.DS); Pattern Formation and Solitons (nlin.PS)
Cite as: arXiv:2411.08787 [nlin.SI]
  (or arXiv:2411.08787v1 [nlin.SI] for this version)
  https://doi.org/10.48550/arXiv.2411.08787

Submission history

From: Dmitry Pelinovsky [view email]
[v1] Wed, 13 Nov 2024 17:15:17 UTC (522 KB)
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