Persistent Homoclinic Orbits for a Perturbed Cubic-quinitic Nonlinear Schrodinger Equation

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Volume 15, Issue 2

Boling Guo & Hanlin Chen

J. Part. Diff. Eq., 15 (2002), pp. 6-36.

Published online: 2002-05

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Abstract

In this paper, the existence of homoclinic orbits, for a perturbed cubic-quintic nonlinear Schrödinger equation with even periodic boundary conditions, under the generalized parameters conditions is established. More specifically, we combine geometric singular perturbation theory with Melnikov analysis and integrable theory to prove the persistence of homoclinic orbits.

Keywords

Homoclinic orbit perturbed cubic-quintic nonlinear Schrödinger equation geometric singular perturbation theory Melnikov analysis

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@Article{JPDE-15-6, author = {Boling Guo and Hanlin Chen }, title = {Persistent Homoclinic Orbits for a Perturbed Cubic-quinitic Nonlinear Schrodinger Equation}, journal = {Journal of Partial Differential Equations}, year = {2002}, volume = {15}, number = {2}, pages = {6--36}, abstract = { In this paper, the existence of homoclinic orbits, for a perturbed cubic-quintic nonlinear Schrödinger equation with even periodic boundary conditions, under the generalized parameters conditions is established. More specifically, we combine geometric singular perturbation theory with Melnikov analysis and integrable theory to prove the persistence of homoclinic orbits.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5445.html} }

TY - JOUR T1 - Persistent Homoclinic Orbits for a Perturbed Cubic-quinitic Nonlinear Schrodinger Equation AU - Boling Guo & Hanlin Chen JO - Journal of Partial Differential Equations VL - 2 SP - 6 EP - 36 PY - 2002 DA - 2002/05 SN - 15 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5445.html KW - Homoclinic orbit KW - perturbed cubic-quintic nonlinear Schrödinger equation KW - geometric singular perturbation theory KW - Melnikov analysis AB - In this paper, the existence of homoclinic orbits, for a perturbed cubic-quintic nonlinear Schrödinger equation with even periodic boundary conditions, under the generalized parameters conditions is established. More specifically, we combine geometric singular perturbation theory with Melnikov analysis and integrable theory to prove the persistence of homoclinic orbits.

Boling Guo and Hanlin Chen . (2002). Persistent Homoclinic Orbits for a Perturbed Cubic-quinitic Nonlinear Schrodinger Equation. Journal of Partial Differential Equations. 15 (2). 6-36. doi:

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