Dispersionless envelope lattice solitons on a D-dimensional nonlinear lattice |
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| Affiliation: | 1. Physics Department, Huazhong University of Science and Technology, Wuhan 430074, China;2. Physics Department, Hunan Normal University, Changsha 410081, China;1. College of Veterinary Medicine, South China Agricultural University, Guangzhou, 510642, China;2. College of Veterinary Medicine, Huazhong Agricultural University, Wuhan, 430070, China;3. Tibet Agriculture and Animal Husbandry College, Linzhi, 860000, Tibet, China;4. Faculty of Veterinary and Animal Sciences, The Islamia University of Bahawalpur, Bahawalpur, 63100, Pakistan;5. Department of Population Medicine and Diagnostic Sciences, College of Veterinary Medicine, Cornell University, Ithaca, NY, USA;6. Institute of Animal Sciences, Chinese Academy of Agricultural Sciences, Beijing, 100193, China;1. Department of Human Science, Graduate School of Design, Kyushu University, 4-9-1 Shiobaru, Minami-ku, Fukuoka 815-8540, Japan;2. Department of Human Science, Faculty of Design, Kyushu University, 4-9-1 Shiobaru, Minami-ku, Fukuoka 815-8540, Japan;1. Department of Applied Geology, Western Australian School of Mines, Curtin University, Kent Street, Bentley, Perth, WA 6102, Australia;2. Mineral Resources, Commonwealth Scientific and Industrial Research Organization (CSIRO), Kensington, Perth, WA 6152, Australia;1. Department of Applied Geology, Western Australian School of Mines, Curtin University, Kent Street, Bentley, Perth, WA 6102, Australia;2. Basque Center for Applied Mathematics, Alameda de Mazarredo 14, 48009 Bilbao, Basque Country, Spain;3. Mineral Resources, Commonwealth Scientific and Industrial Research Organisation (CSIRO), Kensington, Perth, WA 6152, Australia |
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| Abstract: | We show by using the real exponential approach that the d-dimensional discrete nonlinear Schrödinger equation has more general dispersionless envelope lattice soliton solutions than the known bright soliton and kink solutions. Depending on the values of the parameters, the new solutions can describe both bright and dark lattice solitons. Especially, we find novel “W”-like envelope lattice solitons. |
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