Analytical Descriptions of Dark and Gray Solitons in Nonlocal Nonlinear Media |
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| Authors: | HU Ya-Hong LOU Sen-Yue |
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| Affiliation: | Department of Mathematics, Zhejiang Lishui University, Lishui 323000, China;Department of Physics, Ningbo University, Ningbo 315211, China |
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| Abstract: | By using the standard symmetry reduction method, the gray/dark solitons and periodic waves (gray/dark soliton lattice) are analytically studied for the nonlinear optical media with periodic nonlocal response. It is found that there are two critical points for the quantity β ≡ wm2/w02, the multiplication of the square of the wave number (1/w0) and the strength (wm2) of the nonlocality both for the soliton and periodic solutions. The soliton solution exists only for β ≤ 1/4 and the soliton is a double well gray soliton for β > 1/8 while it is a single well gray soliton for β ≤ 1/8. The soliton is dark only for β = 1/4, otherwise it is a gray soliton. Similar critical points exist for the gray/dark soliton lattice solutions. |
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| Keywords: | dark and gray solitons nonlocal nonlinear optical media periodic responce exact analytical solutions similarity reductions |
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