Analytical Descriptions of Dark and Gray Solitons in Nonlocal Nonlinear Media

作者：Hu Ya-Hong^*; Lou Sen-Yue

来源：Communications in Theoretical Physics, 2015, 64(6): 665-670.

DOI：10.1088/0253-6102/64/6/665

• dark and gray solitons
• nonlocal nonlinear optical media
• periodic responce
• exact analytical solutions
• similarity reductions

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 beta wm(2) //a, the multiplication of the square of the wave number (1/w(o)) and the strength (w(m)(2)) of the nonlocality both for the soliton and periodic solutions. The soliton solution exists only for beta <= 1/4 and the soliton is a double well gray soliton for beta > 1/8 while it is a single well gray soliton for beta <= 1/8. The soliton is dark only for beta = 1/4, otherwise it is a gray soliton. Similar critical points exist for the gray/dark soliton lattice solutions.

• 出版日期2015-12-1
• 单位丽水学院; 宁波大学