期刊
STUDIES IN APPLIED MATHEMATICS
卷 132, 期 4, 页码 332-353出版社
WILEY
DOI: 10.1111/sapm.12032
关键词
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资金
- Air Force Office of Scientific Research [USAF 9550-12-1-0244]
- National Science Foundation [DMS-1311730]
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1311730] Funding Source: National Science Foundation
For the one-dimensional nonlinear Schrodinger equations with parity-time (PT) symmetric potentials, it is shown that when a real symmetric potential is perturbed by weak PT-symmetric perturbations, continuous families of asymmetric solitary waves in the real potential are destroyed. It is also shown that in the same model with a general PT-symmetric potential, symmetry breaking of PT-symmetric solitary waves does not occur. Based on these findings, it is conjectured that one-dimensional PT-symmetric potentials cannot support continuous families of non-PT-symmetric solitary waves.
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