Stable solitary waves for a class of nonlinear Schrödinger system with quadratic interaction
We consider the existence and orbital stability of bound state solitary waves and ground state solitary waves for a class of nonlinear Schrödinger system with quadratic interaction in Rn (n = 2, 3). The existence of bound state and ground state solitary waves are studied by variational arguments and...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2018
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Kvadratikus kölcsönhatás, Differenciálegyenlet |
| doi: | 10.14232/ejqtde.2018.1.97 |
| Online Access: | http://acta.bibl.u-szeged.hu/56909 |
| Tartalmi kivonat: | We consider the existence and orbital stability of bound state solitary waves and ground state solitary waves for a class of nonlinear Schrödinger system with quadratic interaction in Rn (n = 2, 3). The existence of bound state and ground state solitary waves are studied by variational arguments and Concentration-compactness Lemma. In additional, we also prove the orbital stability of bound state and ground state solitary waves. |
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| Terjedelem/Fizikai jellemzők: | 1-14 |
| ISSN: | 1417-3875 |