Fractional Rogue Waves with Translational Coordination, Steep Crest, and Modified Asymmetry
To construct fractional rogue waves, this paper first introduces a conformable fractional partial derivative. Based on the conformable fractional partial derivative and its properties, a fractional Schrödinger (NLS) equation with Lax integrability is then derived and first- and second-order fraction...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/6669087 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832555003937554432 |
|---|---|
| author | Bo Xu Yufeng Zhang Sheng Zhang |
| author_facet | Bo Xu Yufeng Zhang Sheng Zhang |
| author_sort | Bo Xu |
| collection | DOAJ |
| description | To construct fractional rogue waves, this paper first introduces a conformable fractional partial derivative. Based on the conformable fractional partial derivative and its properties, a fractional Schrödinger (NLS) equation with Lax integrability is then derived and first- and second-order fractional rogue wave solutions of which are finally obtained. The obtained fractional rogue wave solutions possess translational coordination, providing, to some extent, the degree of freedom to adjust the position of the rogue waves on the coordinate plane. It is shown that the obtained first- and second-order fractional rogue wave solutions are steeper than those of the corresponding NLS equation with integer-order derivatives. Besides, the time the second-order fractional rogue wave solution undergoes from the beginning to the end is also short. As for asymmetric fractional rogue waves with different backgrounds and amplitudes, this paper puts forward a way to construct them by modifying the obtained first- and second-order fractional rogue wave solutions. |
| format | Article |
| id | doaj-art-8678576a981248c4a95d997904fa276c |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-8678576a981248c4a95d997904fa276c2025-02-03T05:49:51ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/66690876669087Fractional Rogue Waves with Translational Coordination, Steep Crest, and Modified AsymmetryBo Xu0Yufeng Zhang1Sheng Zhang2School of Mathematics, China University of Mining and Technology, Xuzhou 221116, ChinaSchool of Mathematics, China University of Mining and Technology, Xuzhou 221116, ChinaSchool of Mathematical Sciences, Bohai University, Jinzhou 121013, ChinaTo construct fractional rogue waves, this paper first introduces a conformable fractional partial derivative. Based on the conformable fractional partial derivative and its properties, a fractional Schrödinger (NLS) equation with Lax integrability is then derived and first- and second-order fractional rogue wave solutions of which are finally obtained. The obtained fractional rogue wave solutions possess translational coordination, providing, to some extent, the degree of freedom to adjust the position of the rogue waves on the coordinate plane. It is shown that the obtained first- and second-order fractional rogue wave solutions are steeper than those of the corresponding NLS equation with integer-order derivatives. Besides, the time the second-order fractional rogue wave solution undergoes from the beginning to the end is also short. As for asymmetric fractional rogue waves with different backgrounds and amplitudes, this paper puts forward a way to construct them by modifying the obtained first- and second-order fractional rogue wave solutions.http://dx.doi.org/10.1155/2021/6669087 |
| spellingShingle | Bo Xu Yufeng Zhang Sheng Zhang Fractional Rogue Waves with Translational Coordination, Steep Crest, and Modified Asymmetry Complexity |
| title | Fractional Rogue Waves with Translational Coordination, Steep Crest, and Modified Asymmetry |
| title_full | Fractional Rogue Waves with Translational Coordination, Steep Crest, and Modified Asymmetry |
| title_fullStr | Fractional Rogue Waves with Translational Coordination, Steep Crest, and Modified Asymmetry |
| title_full_unstemmed | Fractional Rogue Waves with Translational Coordination, Steep Crest, and Modified Asymmetry |
| title_short | Fractional Rogue Waves with Translational Coordination, Steep Crest, and Modified Asymmetry |
| title_sort | fractional rogue waves with translational coordination steep crest and modified asymmetry |
| url | http://dx.doi.org/10.1155/2021/6669087 |
| work_keys_str_mv | AT boxu fractionalroguewaveswithtranslationalcoordinationsteepcrestandmodifiedasymmetry AT yufengzhang fractionalroguewaveswithtranslationalcoordinationsteepcrestandmodifiedasymmetry AT shengzhang fractionalroguewaveswithtranslationalcoordinationsteepcrestandmodifiedasymmetry |