| Автор | Simon Hood |
| Дата выпуска | 1998-12-04 |
| dc.description | In this paper we compute new classes of symmetry reduction and associated exact solutions of a generalized nonlinear Schrödinger equation (GNLS), the generalized terms modelling dispersion and scattering. Several authors have obtained symmetry reductions of one-, two- and three-dimensional nonlinear Schrödinger equations; in all cases to date reductions have been based on a real new independent variable. In this paper we compute reductions in which the new independent variable is complex. We seek new reductions from a two-dimensional GNLS to a PDE in two independent variables and also reductions to ODEs. Five new classes of reduction are found. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | A new class of solutions to a generalized nonlinear Schrödinger equation |
| Тип | paper |
| DOI | 10.1088/0305-4470/31/48/008 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 31 |
| Первая страница | 9715 |
| Последняя страница | 9727 |
| Аффилиация | Simon Hood; Mathematical Sciences, University of Liverpool, Liverpool L69 3BX, UK |
| Выпуск | 48 |
