On Multi-Lump Solutions to the Non-Linear Schrodinger Equation
| dc.contributor.author | Magnus, Robert | |
| dc.date.accessioned | 2019-03-25T20:01:59Z | |
| dc.date.available | 2019-03-25T20:01:59Z | |
| dc.date.issued | 1998-11-15 | |
| dc.description.abstract | We present a new approach to proving the existence of semi-classical bound states of the non-linear Schrodinger equation which are concentrated near a finite set of non-degenerate critical points of the potential function. The method is based on considering a system of non-linear elliptic equations. The positivity of the solutions is considered. It is shown how the same method yields ``multi-bump'' solutions ``homoclinic'' to an equilibrium point for non-autonomous Hamiltonian equations. The method provides a calculable asymptotic form for the solutions in terms of a small parameter. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 24 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Magnus, R. (1998). On multi-lump solutions to the non-linear Schrodinger equation. <i>Electronic Journal of Differential Equations, 1998</i>(29), pp. 1-24. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/7940 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 1998, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Non-linear Schrodinger equation | |
| dc.subject | Semi-classical bound state | |
| dc.subject | Nonlinear-elliptic equation | |
| dc.title | On Multi-Lump Solutions to the Non-Linear Schrodinger Equation | |
| dc.type | Article |