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Lagrangian approach for dark soliton in nonlocal nonlinear media
Authors:Shaozhi Pu  Chunfeng Hou  Kaiyun Zhan  Chengxun Yuan  Yanwei Du
Institution:1. Department of Physics, Harbin Institute of Technology, Harbin 150001, China;2. Department of Optical Information Science and Technology, Harbin University of Science and Technology, Harbin 150080, China;1. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762-7500, USA;2. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa;3. Department of Mathematics, Faculty of Science and Arts, Yozgat Bozok University, 66100 Yozgat, Turkey;4. Science Program, Texas A&M University at Qatar, PO Box 23874, Doha, Qatar;1. Laboratory of Mechanics, Department of Physics, Faculty of Science, University of Yaoundé I, P.O. Box 812, Yaoundé, Cameroon;2. Department of Physics, Pondicherry University, Puducherry 605014, India;3. The Abdus Salam International Centre for Theoretical Physics, P.O. Box 586, Strada Costiera 11, I-34014, Trieste, Italy;4. Condensed Matter Laboratory, Department of Physics, Faculty of Science, University of Douala, P.O. Box 24157, Douala, Cameroon
Abstract:We theoretically investigate the dynamics of dark solitons as well as their interaction in nonlocal media. Approximate equations describing the evolution of the beams are obtained via suitable trial functions of amplitude u and refractive index n in an averaged Lagrangian. Our results reveal that out-of-phase dark solitons can evolve into stable bound states in nonlocal materials. Moreover, it is found that the separations in the bound state monotonically increase with the degree of nonlocality in nonlocal limit. These results are in excellent agreement with the numerical simulations.
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