TY - JOUR T1 - Homoclinic Orbit in a Six Dimensional Model of a Perturbed Higher-order NLS Equation JO - Journal of Partial Differential Equations VL - 1 SP - 18 EP - 28 PY - 2003 DA - 2003/02 SN - 16 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5402.html KW - homoclinic KW - higher-order NLS equation KW - perturbation AB - In this paper, the perturbed higher-order NLS equation with periodic boundary condition is considered. The existence of the homoclinic orbits for the truncation equation is established by Melnikov analysis and geometric singular perturbation theory.