Complex Ginzburg-Landau equations as perturbations of nonlinear Schrödinger equations: a Melnikov approach

DOI10.1016/j.physd.2004.07.012zbMath1061.35130OpenAlexW2102574271MaRDI QIDQ1888058

Benjamin P. Luce, C. David Levermore, Gustavo Cruz-Pacheco

Publication date: 22 November 2004

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2004.07.012

zbMATH Keywords

generalized nonlinear Schrödinger equations' Ginzburg-Landau perturbationsMelnikov criteriapersistence of quasiperiodic and homoclinic solutions

Mathematics Subject Classification ID

Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) NLS equations (nonlinear Schrödinger equations) (35Q55)

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