| Autor: |
Croke, Ryan, Mueller, Jennifer L, Music, Michael, Perry, Peter, Siltanen, Samuli, Stahel, Andreas |
| Rok vydání: |
2013 |
| Předmět: |
|
| Druh dokumentu: |
Working Paper |
| Popis: |
Recent progress in the theory and computation for the Novikov-Veselov (NV) equation is reviewed with initial potentials decaying at infinity, focusing mainly on the zero-energy case. The inverse scattering method for the zero-energy NV equation is presented in the context of Manakov triples, treating initial data of conductivity type rigorously. Special closed-form solutions are presented, including multisolitons, ring solitons, and breathers. The computational inverse scattering method is used to study zero-energy exceptional points and the relationship between supercritical, critical, and subcritical potentials. |
| Databáze: |
arXiv |
| Externí odkaz: |
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