| Автор | Chen Shi-rong |
| Автор | Chen Zhi-de |
| Автор | Yuan Xian-zhang |
| Автор | Huang Nian-ning |
| Дата выпуска | 1999-08-01 |
| dc.description | An exact direct perturbation theory of nonlinear Schrödinger equation with corrections is developed under the condition that the initial value of the perturbed solution is equal to the value of an exact multisoliton solution at a particular time. After showing the squared Jost functions are the eigenfunctions of the linearized operator with a vanishing eigenvalue, suitable definitions of adjoint functions and inner product are introduced. Orthogonal relations are derived and the expansion of the unity in terms of the squared Jost functions is naturally implied. The completeness of the squared Jost functions is shown by the generalized Marchenko equation. As an example, the evolution of a Raman loss compensated soliton in an optical fiber is treated. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | A direct perturbation theory of the nonlinear Schrödinger equation with corrections |
| Тип | paper |
| DOI | 10.1088/1004-423X/8/8/006 |
| Print ISSN | 1004-423X |
| Журнал | Acta Physica Sinica (Overseas Edition) |
| Том | 8 |
| Первая страница | 590 |
| Последняя страница | 597 |
| Выпуск | 8 |
