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Volume 16, Issue 1
Homoclinic Orbit in a Six Dimensional Model of a Perturbed Higher-order NLS Equation

Boling Guo & Hanlin Chen

J. Part. Diff. Eq., 16 (2003), pp. 18-28.

Published online: 2003-02

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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.
  • Keywords

homoclinic higher-order NLS equation perturbation

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@Article{JPDE-16-18, author = {Boling Guo and Hanlin Chen }, title = {Homoclinic Orbit in a Six Dimensional Model of a Perturbed Higher-order NLS Equation}, journal = {Journal of Partial Differential Equations}, year = {2003}, volume = {16}, number = {1}, pages = {18--28}, 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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5402.html} }
TY - JOUR T1 - Homoclinic Orbit in a Six Dimensional Model of a Perturbed Higher-order NLS Equation AU - Boling Guo & Hanlin Chen 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.
Boling Guo and Hanlin Chen . (2003). Homoclinic Orbit in a Six Dimensional Model of a Perturbed Higher-order NLS Equation. Journal of Partial Differential Equations. 16 (1). 18-28. doi:
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