On the optical solutions to nonlinear Schrödinger equation with second-order spatiotemporal dispersion
In this article, the sine-Gordon expansion method is employed to find some new traveling wave solutions to the nonlinear Schrödinger equation with the coefficients of both group velocity dispersion and second-order spatiotemporal dispersion. The nonlinear model is reduced to an ordinary differential...
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De Gruyter
2021-03-01
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| Series: | Open Physics |
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| Online Access: | https://doi.org/10.1515/phys-2021-0013 |
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doaj-96201a6d4f1c4f018e9d718907fdbef32021-10-03T07:42:42ZengDe GruyterOpen Physics2391-54712021-03-0119111111810.1515/phys-2021-0013On the optical solutions to nonlinear Schrödinger equation with second-order spatiotemporal dispersionRezazadeh Hadi0Adel Waleed1Eslami Mostafa2Tariq Kalim U.3Mirhosseini-Alizamini Seyed Mehdi4Bekir Ahmet5Chu Yu-Ming6Faculty of Engineering Technology, Amol University of Special Modern Technological, Amol, IranDepartment of Mathematical Sciences, Faculty of Engineering, Mansoura UniversityMansoura, EgyptDepartment of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, IranSchool of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, ChinaDepartment of Mathematics, Payame Noor University, Tehran 19395-3697, IranNeighbourhood of Akcaglan, Imarli Street, Number: 28/4, 26030, Eskisehir, TurkeyDepartment of Mathematics, Huzhou University, Huzhou 313000, ChinaIn this article, the sine-Gordon expansion method is employed to find some new traveling wave solutions to the nonlinear Schrödinger equation with the coefficients of both group velocity dispersion and second-order spatiotemporal dispersion. The nonlinear model is reduced to an ordinary differential equation by introducing an intelligible wave transformation. A set of new exact solutions are observed corresponding to various parameters. These novel soliton solutions are depicted in figures, revealing the new physical behavior of the acquired solutions. The method proves its ability to provide good new approximate solutions with some applications in science. Moreover, the associated solution of the presented method can be extended to solve more complex models.https://doi.org/10.1515/phys-2021-0013solitary waveschrödinger equationsine-gordon expansion method |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Rezazadeh Hadi Adel Waleed Eslami Mostafa Tariq Kalim U. Mirhosseini-Alizamini Seyed Mehdi Bekir Ahmet Chu Yu-Ming |
| spellingShingle |
Rezazadeh Hadi Adel Waleed Eslami Mostafa Tariq Kalim U. Mirhosseini-Alizamini Seyed Mehdi Bekir Ahmet Chu Yu-Ming On the optical solutions to nonlinear Schrödinger equation with second-order spatiotemporal dispersion Open Physics solitary wave schrödinger equation sine-gordon expansion method |
| author_facet |
Rezazadeh Hadi Adel Waleed Eslami Mostafa Tariq Kalim U. Mirhosseini-Alizamini Seyed Mehdi Bekir Ahmet Chu Yu-Ming |
| author_sort |
Rezazadeh Hadi |
| title |
On the optical solutions to nonlinear Schrödinger equation with second-order spatiotemporal dispersion |
| title_short |
On the optical solutions to nonlinear Schrödinger equation with second-order spatiotemporal dispersion |
| title_full |
On the optical solutions to nonlinear Schrödinger equation with second-order spatiotemporal dispersion |
| title_fullStr |
On the optical solutions to nonlinear Schrödinger equation with second-order spatiotemporal dispersion |
| title_full_unstemmed |
On the optical solutions to nonlinear Schrödinger equation with second-order spatiotemporal dispersion |
| title_sort |
on the optical solutions to nonlinear schrödinger equation with second-order spatiotemporal dispersion |
| publisher |
De Gruyter |
| series |
Open Physics |
| issn |
2391-5471 |
| publishDate |
2021-03-01 |
| description |
In this article, the sine-Gordon expansion method is employed to find some new traveling wave solutions to the nonlinear Schrödinger equation with the coefficients of both group velocity dispersion and second-order spatiotemporal dispersion. The nonlinear model is reduced to an ordinary differential equation by introducing an intelligible wave transformation. A set of new exact solutions are observed corresponding to various parameters. These novel soliton solutions are depicted in figures, revealing the new physical behavior of the acquired solutions. The method proves its ability to provide good new approximate solutions with some applications in science. Moreover, the associated solution of the presented method can be extended to solve more complex models. |
| topic |
solitary wave schrödinger equation sine-gordon expansion method |
| url |
https://doi.org/10.1515/phys-2021-0013 |
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