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Supersymmetric methods for constructing soliton-type solutions to multi-component nonlinear Schrdinger and Klein-Gordon equations
| Title: | Supersymmetric methods for constructing soliton-type solutions to multi-component nonlinear Schrdinger and Klein-Gordon equations |
| Authors: | Arai, A. Browse this author |
| Keywords: | nonlinear Schrodinger equation | | nonliner Klein-Gordon equation | | soliton | | supersymmetry | | superpotential | | shape-invariant potential | | q-deformed hyperbolic function |
| Issue Date: | 1-Dec-2000 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 508 |
| Start Page: | 1 |
| End Page: | 22 |
| Abstract: | We consider a multi-component nonlinear partial differential equation in the twodimensional space-time R2 which unifies Schrodinger and Klein-Gordon equations in R 2• By supersymmetric methods connected with shape-invariant potentials, we show that a class of soliton-type solutions to the equation can be constructed from solutions to nonlinear equations of some types for superpotentials. Moreover we present new soliton-type solutions which are written in terms of q-deformed hyperbolic functions. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69258 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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