Homoclinic Orbit in a Six Dimensional Model of a Perturbed Higher-order NLS Equation

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Abstract

" 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."
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Homoclinic Orbit in a Six Dimensional Model of a Perturbed Higher-order NLS Equation. (2003). Journal of Partial Differential Equations, 16(1), 18-28. https://www.global-sci.com/jpde/article/view/14866