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Pure Mathematics 2021
旋转势阱耦合下孤子的研究
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Abstract:
| [1] | Korteweg, D.J. and De Vries, G. (2011) On the Change of Form of Long Waves Advancing in a Rectangular Canal, and on a New Type of Long Stationary Waves. Philosophical Magazine, 91, 1007-1028.
https://doi.org/10.1080/14786435.2010.547337 |
| [2] | Khaykovich, L., Schreck, F., Ferrari, G., Bourdel, T., Cubizolles, J., Carr, L.D., Castin, Y. and Salomon, C. (2002) Formation of a Matter-Wave Bright Soliton. Science, 296, 1290-1293. https://doi.org/10.1126/science.1071021 |
| [3] | Chiao, R.Y. and Wu, Y.S. (1986) Manifestations of Berry’s Topological Phase for the Photon. Physical Review Letters, 57, 933-936. https://doi.org/10.1103/PhysRevLett.57.933 |
| [4] | Tomita, A. and Chiao, R.Y. (1986) Observation of Berry’s Topological Phase by Use of an Optical Fiber. Physical Review Letters, 59, 937-940. https://doi.org/10.1103/PhysRevLett.57.937 |
| [5] | Ornigotti, M., Valle, G.D., Gatti, D., et al. (2007) Topological Suppression of Optical Tunneling in a Twisted Annular Fiber. Physical Review A, 76, Article ID: 023833. https://doi.org/10.1103/PhysRevA.76.023833 |
| [6] | Kanamoto, R., Carr, L.D. and Ueda, M. (2008) Topological Winding and Unwinding in Metastable Bose-Einstein Condensates. Physical Review Letters, 100, Article ID: 060401. https://doi.org/10.1103/PhysRevLett.100.060401 |
| [7] | Guo, H., Chen, Z., Liu, J., et al. (2014) Fundamental Modes in a Waveguide Pipe Twisted by Inverted Nonlinear Double-Well Potential. Laser Physics, 24, Article ID: 045403. https://doi.org/10.1088/1054-660X/24/4/045403 |
| [8] | Li, Y.Y., Pang, W. and Malomed, B.A. (2014) Wave Modes Trapped in Rotating Nonlinear Potentials. In: Localized Excitations in Nonlinear Complex Systems, Springer International Publishing, Berlin, 171-192.
https://doi.org/10.1007/978-3-319-02057-0_8 |
| [9] | Li, Y.Y., Pang, W. and Malomed, B.A. (2012) Nonlinear Modes and Symmetry Breaking in Rotating Double-Well Potentials. Physical Review A, 86, 94-101. https://doi.org/10.1103/PhysRevA.86.023832 |
| [10] | Chen, G.H., Wang, H.C., Chen, Z.P., et al. (2016) Fundamental Modes in Waveguide Pipe Twisted by Saturated Double-Well Potential. Frontiers of Physics, 12, Article ID: 124201. https://doi.org/10.1007/s11467-016-0601-6 |
| [11] | Luo, Z.H., Li, Y.Y., Pang, W., Liu, Y. and Wang, X.J. (2013) Double Symmetry Breaking of Modes in Dual-Core Rotating System. Journal of the Physical Society of Japan, 82, Article ID: 124401.
https://doi.org/10.7566/JPSJ.82.124401 |
| [12] | Luo, W., Chen, Z., Zou, Z., Luo, Z., et al. (2019) Symmetry and Asymmetry Nonlinear Modes in Dual Cylinder Waveguide Shells Coupled by a Rotating Double-Well Connection. Journal of Nonlinear Optical Physics & Materials, 28, Article ID: 1850039. https://doi.org/10.1142/S021886351850039X |
