The exact solutions for the nonlinear variable-coefficient fifth-order Schrödinger equation
In the paper, the nonlinear variable-coefficient fifth-order Schrödinger (NLVS) equation is researched. The NLVS equation is an integrable equation, which can be described the spreading of ultrashort pulses in an inhomogeneous optical fiber. Firstly, by using the modified traveling wave transformati...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-08-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379722003886 |
| _version_ | 1829103112652062720 |
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| author | Cheng’ao Li Junliang Lu |
| author_facet | Cheng’ao Li Junliang Lu |
| author_sort | Cheng’ao Li |
| collection | DOAJ |
| description | In the paper, the nonlinear variable-coefficient fifth-order Schrödinger (NLVS) equation is researched. The NLVS equation is an integrable equation, which can be described the spreading of ultrashort pulses in an inhomogeneous optical fiber. Firstly, by using the modified traveling wave transformation, the NLVS equation is changed into an ordinary equation. Secondly, by the Jacobian elliptic function expansion method for the ordinary equation, we obtain the exact solutions for the ordinary equation, and then, we obtain the exact solutions to the NLVS equation. These solutions mainly include three types: Jacobi elliptic function solutions, hyperbolic function solutions, and triangular function solutions. Finally, according to the special parameters, we show the figures of the exact solutions. |
| first_indexed | 2024-12-10T23:15:06Z |
| format | Article |
| id | doaj.art-22d34493ffb241b89e6814d810966bab |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-10T23:15:06Z |
| publishDate | 2022-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-22d34493ffb241b89e6814d810966bab2022-12-22T01:29:52ZengElsevierResults in Physics2211-37972022-08-0139105708The exact solutions for the nonlinear variable-coefficient fifth-order Schrödinger equationCheng’ao Li0Junliang Lu1School of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, 650221, PR ChinaCorresponding author.; School of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, 650221, PR ChinaIn the paper, the nonlinear variable-coefficient fifth-order Schrödinger (NLVS) equation is researched. The NLVS equation is an integrable equation, which can be described the spreading of ultrashort pulses in an inhomogeneous optical fiber. Firstly, by using the modified traveling wave transformation, the NLVS equation is changed into an ordinary equation. Secondly, by the Jacobian elliptic function expansion method for the ordinary equation, we obtain the exact solutions for the ordinary equation, and then, we obtain the exact solutions to the NLVS equation. These solutions mainly include three types: Jacobi elliptic function solutions, hyperbolic function solutions, and triangular function solutions. Finally, according to the special parameters, we show the figures of the exact solutions.http://www.sciencedirect.com/science/article/pii/S2211379722003886Nonlinear variable-coefficient Schrödinger equationModified traveling wave transformationJacobian elliptic function expansion methodTraveling wave solution |
| spellingShingle | Cheng’ao Li Junliang Lu The exact solutions for the nonlinear variable-coefficient fifth-order Schrödinger equation Results in Physics Nonlinear variable-coefficient Schrödinger equation Modified traveling wave transformation Jacobian elliptic function expansion method Traveling wave solution |
| title | The exact solutions for the nonlinear variable-coefficient fifth-order Schrödinger equation |
| title_full | The exact solutions for the nonlinear variable-coefficient fifth-order Schrödinger equation |
| title_fullStr | The exact solutions for the nonlinear variable-coefficient fifth-order Schrödinger equation |
| title_full_unstemmed | The exact solutions for the nonlinear variable-coefficient fifth-order Schrödinger equation |
| title_short | The exact solutions for the nonlinear variable-coefficient fifth-order Schrödinger equation |
| title_sort | exact solutions for the nonlinear variable coefficient fifth order schrodinger equation |
| topic | Nonlinear variable-coefficient Schrödinger equation Modified traveling wave transformation Jacobian elliptic function expansion method Traveling wave solution |
| url | http://www.sciencedirect.com/science/article/pii/S2211379722003886 |
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