Nonlinear stability of oscillatory pulses in the parametric nonlinear Schrödinger equation

DOI10.1088/0951-7715/20/3/009zbMath1128.37054OpenAlexW2029117774MaRDI QIDQ5434959

Paul Chang, Keith Promislow

Publication date: 14 January 2008

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/20/3/009

zbMATH Keywords

normal formrenormalizationPoincaré-Hopf bifurcationglobal manifoldoscillatory and translational dynamics of pulses

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)

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