Homoclinic degeneracy for perturbed nonlinear Schrödinger equation

DOI10.1016/J.PHYSLETA.2006.10.078zbMath1197.35279OpenAlexW2087595148MaRDI QIDQ601451

Aijun Zhu, Zhengde Dai

Publication date: 28 October 2010

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2006.10.078

zbMATH Keywords

global attractorheteroclinic orbithomoclinic orbitNLS equation

Mathematics Subject Classification ID

Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) NLS equations (nonlinear Schrödinger equations) (35Q55) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)

Related Items (1)

The twin properties of rogue waves and homoclinic solutions for some nonlinear wave equations

Cites Work

• The focusing nonlinear Schrödinger equation: Effect of the coupling to a low frequency field
• Smale horseshoes and symbolic dynamics in perturbed nonlinear Schrödinger equations
• Morse and Melnikov functions for NLS PDE's
• A Lax pair for the two dimensional Euler equation
• Melnikov Analysis for a Singularly Perturbed DSII Equation

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