Exact Solutions to the Nonlinear Schrödinger Equation with Time-Dependent Coefficients
In this paper, a trial function method is employed to find exact solutions to the nonlinear Schrödinger equations with high-order time-dependent coefficients. This system might be used to describe the propagation of ultrashort optical pulses in nonlinear optical fibers, with self-steepening and self...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/6694980 |
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| author | Xin-Lei Mai Wei Li Shi-Hai Dong |
| author_facet | Xin-Lei Mai Wei Li Shi-Hai Dong |
| author_sort | Xin-Lei Mai |
| collection | DOAJ |
| description | In this paper, a trial function method is employed to find exact solutions to the nonlinear Schrödinger equations with high-order time-dependent coefficients. This system might be used to describe the propagation of ultrashort optical pulses in nonlinear optical fibers, with self-steepening and self-frequency shift effects. The new general solutions are found for the general case a0≠0 including the Jacobi elliptic function solutions, solitary wave solutions, and rational function solutions which are presented in comparison with the previous ones obtained by Triki and Wazwaz, who only studied the special case a0=0. |
| format | Article |
| id | doaj-art-613cb45093bb4dafa9f68a9a1c8d9c8e |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-613cb45093bb4dafa9f68a9a1c8d9c8e2025-02-03T01:24:51ZengWileyAdvances in High Energy Physics1687-73571687-73652021-01-01202110.1155/2021/66949806694980Exact Solutions to the Nonlinear Schrödinger Equation with Time-Dependent CoefficientsXin-Lei Mai0Wei Li1Shi-Hai Dong2School of Mathematics and Physics, Beijing University of Chemical Technology, Beijing 100029, ChinaSchool of Mathematics and Physics, Beijing University of Chemical Technology, Beijing 100029, ChinaHuzhou University, Huzhou 313000, ChinaIn this paper, a trial function method is employed to find exact solutions to the nonlinear Schrödinger equations with high-order time-dependent coefficients. This system might be used to describe the propagation of ultrashort optical pulses in nonlinear optical fibers, with self-steepening and self-frequency shift effects. The new general solutions are found for the general case a0≠0 including the Jacobi elliptic function solutions, solitary wave solutions, and rational function solutions which are presented in comparison with the previous ones obtained by Triki and Wazwaz, who only studied the special case a0=0.http://dx.doi.org/10.1155/2021/6694980 |
| spellingShingle | Xin-Lei Mai Wei Li Shi-Hai Dong Exact Solutions to the Nonlinear Schrödinger Equation with Time-Dependent Coefficients Advances in High Energy Physics |
| title | Exact Solutions to the Nonlinear Schrödinger Equation with Time-Dependent Coefficients |
| title_full | Exact Solutions to the Nonlinear Schrödinger Equation with Time-Dependent Coefficients |
| title_fullStr | Exact Solutions to the Nonlinear Schrödinger Equation with Time-Dependent Coefficients |
| title_full_unstemmed | Exact Solutions to the Nonlinear Schrödinger Equation with Time-Dependent Coefficients |
| title_short | Exact Solutions to the Nonlinear Schrödinger Equation with Time-Dependent Coefficients |
| title_sort | exact solutions to the nonlinear schrodinger equation with time dependent coefficients |
| url | http://dx.doi.org/10.1155/2021/6694980 |
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