Self-Similarity Analysis of the Nonlinear Schrodinger Equation in the Madelung Form
In the present study a particular case of Gross-Pitaevskii or nonlinear Schrodinger equation is rewritten to a form similar to a hydrodynamic Euler equation using the Madelung transformation. The obtained system of differential equations is highly nonlinear. Regarding the solutions, a larger coeffic...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2018
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| Sorozat: | ADVANCES IN MATHEMATICAL PHYSICS
2018 |
| Tárgyszavak: | |
| doi: | 10.1155/2018/7087295 |
| mtmt: | 30307727 |
| Online Access: | http://publicatio.bibl.u-szeged.hu/27094 |
| Tartalmi kivonat: | In the present study a particular case of Gross-Pitaevskii or nonlinear Schrodinger equation is rewritten to a form similar to a hydrodynamic Euler equation using the Madelung transformation. The obtained system of differential equations is highly nonlinear. Regarding the solutions, a larger coefficient of the nonlinear term yields stronger deviation of the solution from the linear case. |
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| Terjedelem/Fizikai jellemzők: | 5 |
| ISSN: | 1687-9120 |