期刊
PHYSICAL REVIEW E
卷 78, 期 2, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.78.027601
关键词
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资金
- Ministerio de Educacion y Ciencia (MEC), Spain [FIS2006-04190]
- Junta de Comunidades de Castilla-La Mancha [PCI-08-0093]
- MEC [AP2005-4528]
Using theoretical arguments, we prove the numerically well-known fact that the eigenvalues of all localized stationary solutions of the cubic-quintic (2+1)-dimensional nonlinear Schrodinger equation exhibit an upper cutoff value. The existence of the cutoff is inferred using Gagliardo-Nirenberg and Holder inequalities together with Pohozaev identities. We also show that, in the limit of eigenvalues close to zero, the eigenstates of the cubic-quintic nonlinear Schrodinger equation behave similarly to those of the cubic nonlinear Schrodinger equation.
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