Generalized hyperbolic functions to find soliton-like solutions for a system of coupled nonlinear Schrödinger equations
With the aid of symbolic computation, we demonstrate that the known method which is based on the new generalized hyperbolic functions and the new kinds of generalized hyperbolic function transformations, generates classes of exact solutions to a system of coupled nonlinear Schrödinger equations. Thi...
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| Published in: | Physics letters. A Vol. 372; no. 10; pp. 1612 - 1618 |
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| Main Author: | |
| Format: | Journal Article |
| Language: | English |
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Elsevier B.V
03.03.2008
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| ISSN: | 0375-9601, 1873-2429 |
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| Abstract | With the aid of symbolic computation, we demonstrate that the known method which is based on the new generalized hyperbolic functions and the new kinds of generalized hyperbolic function transformations, generates classes of exact solutions to a system of coupled nonlinear Schrödinger equations. This system includes the modified Hubbard model and the system of coupled nonlinear Schrödinger derived by Lazarides and Tsironis. Four types of solutions for this system are given explicitly, namely: new bright–bright, new dark–dark, new bright–dark and new dark–bright solitons. |
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| AbstractList | With the aid of symbolic computation, we demonstrate that the known method which is based on the new generalized hyperbolic functions and the new kinds of generalized hyperbolic function transformations, generates classes of exact solutions to a system of coupled nonlinear Schrödinger equations. This system includes the modified Hubbard model and the system of coupled nonlinear Schrödinger derived by Lazarides and Tsironis. Four types of solutions for this system are given explicitly, namely: new bright–bright, new dark–dark, new bright–dark and new dark–bright solitons. |
| Author | Yomba, Emmanuel |
| Author_xml | – sequence: 1 givenname: Emmanuel surname: Yomba fullname: Yomba, Emmanuel email: yomba@ima.umn.edu organization: Institute for Mathematics and Its Applications, University of Minnesota, 400 Lind Hall, 207 Church Street S.E. Minneapolis, MN 55455, USA |
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| Cites_doi | 10.1016/j.physleta.2006.04.082 10.1103/PhysRevLett.81.4632 10.1143/JPSJ.64.408 10.1016/0375-9601(81)90051-7 10.1063/1.1521238 10.1103/PhysRevE.61.3093 10.1088/0266-5611/20/4/012 10.1103/PhysRevLett.90.254102 10.1088/0305-4470/35/42/303 10.1109/JSTQE.2002.1016345 10.1103/PhysRevLett.86.5043 10.1103/PhysRevE.55.4773 10.1103/PhysRevE.67.046617 10.1103/PhysRevE.73.026604 10.1016/j.physleta.2005.04.068 10.1016/0375-9601(81)90050-5 10.1143/PTP.111.151 10.1103/PhysRevLett.91.037401 10.1103/PhysRevE.71.036614 10.1088/0031-8949/29/3/016 10.1088/0305-4470/28/9/025 10.1016/j.physleta.2004.08.010 10.1103/PhysRevE.56.2213 |
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