Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1862196 | Physics Letters A | 2007 | 6 Pages |
Abstract
In this Letter, we consider a nonlinear Schrödinger (NLS) equation iut+uxx=−(|u|2−1)uiut+uxx=−(|u|2−1)u and obtain the explicit expressions of two new series of homoclinic and heteroclinic orbit solutions by utilizing the bilinear forms. When this equation is perturbed, we find that the homoclinic orbits degenerate but the heteroclinic orbits still exist. At the same time, the explicit expression of heteroclinic orbit solution to perturbed NLS equation is given by applying variable transformation. Moreover, the relation between global attractor and heteroclinic orbit is investigated.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
Aijun Zhu, Zhengde Dai,