Topological 1-soliton solution of the nonlinear Schrodinger’s equation with Kerr law nonlinearity in 1 + 2 dimensions |
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| Authors: | Anjan Biswas |
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| Affiliation: | 1. Université de Bourgogne, 9 Av. Alain Savary, Dijon, France;2. ASD, IMCCE-CNRS UMR8028, Observatoire de Paris, UPMC, 77 Av. Denfert-Rochereau, 75014 Paris, France;1. Department of Mathematics, Lishui University, Lishui, 323000, People''s Republic of China;2. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, 266590, People''s Republic of China;1. Department of Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650500, PR China;2. School of Mathematics and Statistics, Yunnan University, Kunming 650091, PR China;1. Department of Mathematics, Lishui University, Lishui, 323000, People’s Republic of China;2. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, 266590, People’s Republic of China |
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| Abstract: | In this paper, the topological 1-soliton solution of the nonlinear Schrödinger’s equation in 1 + 2 dimensions is obtained by the solitary wave ansatze method. These topological solitons are studied in the context of dark optical solitons. The type of nonlinearity that is considered is Kerr type. |
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