| ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
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Elegant Ince–Gaussian breathers in strongly nonlocal nonlinear media |
| Bai Zhi-Yong(白志勇), Deng Dong-Mei(邓冬梅), and Guo Qi(郭旗)† |
| Key Laboratory of Photonic Information Technology of Guangdong Higher Educaiton Institutes,South China Normal University, Guangzhou 510631, China |
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Abstract A novel class of optical breathers, called elegant Ince-Gaussian breathers, are presented in this paper. They are exact analytical solutions to Snyder and Mitchell's mode in an elliptic coordinate system, and their transverse structures are described by Ince-polynomials with complex arguments and a Gaussian function. We provide convincing evidence for the correctness of the solutions and the existence of the breathers via comparing the analytical solutions with numerical simulation of the nonlocal nonlinear Schrödinger equation.
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Received: 31 August 2011
Revised: 11 December 2011
Accepted manuscript online:
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PACS:
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42.65.Tg
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(Optical solitons; nonlinear guided waves)
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42.65.Jx
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(Beam trapping, self-focusing and defocusing; self-phase modulation)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11074080 and 10904041), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20094407110008), and the Natural Science Foundation of Guangdong Province of China (Grant No. 10151063101000017). |
Corresponding Authors:
Guo Qi
E-mail: guoq@scnu.edu.cn
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Cite this article:
Bai Zhi-Yong(白志勇), Deng Dong-Mei(邓冬梅), and Guo Qi(郭旗) Elegant Ince–Gaussian breathers in strongly nonlocal nonlinear media 2012 Chin. Phys. B 21 064218
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