A unified inverse scattering transformation for the local and nonlocal nonautonomous Gross-Pitaevskii equations
| dc.contributor.author | Zhang, Yu-Juan | |
| dc.contributor.author | Zhao, Dun | |
| dc.contributor.author | Ma, Wen-Xiu | |
| dc.contributor.researchID | 30109760 - Ma, Wen-Xiu | |
| dc.date.accessioned | 2018-07-27T08:08:53Z | |
| dc.date.available | 2018-07-27T08:08:53Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | We present the inverse scattering transformation for a nonisospectral AKNS hierarchy in which the spectral parameter is determined by an ordinary differential equation with polynomial nonlinearity, and thus, we give a unified treatment for the local and nonlocal nonautonomous Gross-Pitaevskii equations which possess the parity-time (PJ) symmetric invariance. We find that unlike the local case, the PJ -symmetry of the nonlocal Gross-Pitaevskii equation allows two different choices of the symmetry relations of the eigenfunctions which guarantee two different kinds of inverse scattering solutions. | |
| dc.identifier.citation | Zhang, Y. et al. 2017. A unified inverse scattering transformation for the local and nonlocal nonautonomous Gross-Pitaevskii equations. Journal of Mathematical Physics, 58:1-19. [https://doi.org/10.1063/1.4974772] | |
| dc.identifier.issn | 0022-2488 | |
| dc.identifier.issn | 1089-7658 (Online) | |
| dc.identifier.uri | https://doi.org/10.1063/1.4974772 | |
| dc.identifier.uri | http://hdl.handle.net/10394/30340 | |
| dc.language.iso | en | |
| dc.publisher | AIP | |
| dc.title | A unified inverse scattering transformation for the local and nonlocal nonautonomous Gross-Pitaevskii equations | |
| dc.type | Article |