Elastic and inelastic interactions of periodic solutions for the 2+1-dimensional Ito equation
In this paper, based on the bilinear form, we obtain 2-plane-soliton and 4-plane-soliton solutions for the 2+1-dimensional Ito equation. Particularly, both the elastic interactions and inelastic interactions of periodic waves are obtained. The existence conditions of periodic solitons and resonant s...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2022-12-01
|
| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379722007173 |
| _version_ | 1811314741370421248 |
|---|---|
| author | Gu-Hao Lu Ai-Hua Chen |
| author_facet | Gu-Hao Lu Ai-Hua Chen |
| author_sort | Gu-Hao Lu |
| collection | DOAJ |
| description | In this paper, based on the bilinear form, we obtain 2-plane-soliton and 4-plane-soliton solutions for the 2+1-dimensional Ito equation. Particularly, both the elastic interactions and inelastic interactions of periodic waves are obtained. The existence conditions of periodic solitons and resonant solutions are provided. The asymptotic behaviors of the solutions are analyzed in detail to study the elastic and inelastic interactions. The interactional properties of obtained solutions are also investigated graphically. |
| first_indexed | 2024-04-13T11:16:47Z |
| format | Article |
| id | doaj.art-9211a4766da24952b6ac4006025c160f |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-04-13T11:16:47Z |
| publishDate | 2022-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-9211a4766da24952b6ac4006025c160f2022-12-22T02:48:56ZengElsevierResults in Physics2211-37972022-12-0143106103Elastic and inelastic interactions of periodic solutions for the 2+1-dimensional Ito equationGu-Hao Lu0Ai-Hua Chen1College of Science, University of Shanghai for Science and Technology, Shanghai 200093, ChinaCorresponding author.; College of Science, University of Shanghai for Science and Technology, Shanghai 200093, ChinaIn this paper, based on the bilinear form, we obtain 2-plane-soliton and 4-plane-soliton solutions for the 2+1-dimensional Ito equation. Particularly, both the elastic interactions and inelastic interactions of periodic waves are obtained. The existence conditions of periodic solitons and resonant solutions are provided. The asymptotic behaviors of the solutions are analyzed in detail to study the elastic and inelastic interactions. The interactional properties of obtained solutions are also investigated graphically.http://www.sciencedirect.com/science/article/pii/S2211379722007173Plane-solitonPeriodic-solitonResonant-periodic |
| spellingShingle | Gu-Hao Lu Ai-Hua Chen Elastic and inelastic interactions of periodic solutions for the 2+1-dimensional Ito equation Results in Physics Plane-soliton Periodic-soliton Resonant-periodic |
| title | Elastic and inelastic interactions of periodic solutions for the 2+1-dimensional Ito equation |
| title_full | Elastic and inelastic interactions of periodic solutions for the 2+1-dimensional Ito equation |
| title_fullStr | Elastic and inelastic interactions of periodic solutions for the 2+1-dimensional Ito equation |
| title_full_unstemmed | Elastic and inelastic interactions of periodic solutions for the 2+1-dimensional Ito equation |
| title_short | Elastic and inelastic interactions of periodic solutions for the 2+1-dimensional Ito equation |
| title_sort | elastic and inelastic interactions of periodic solutions for the 2 1 dimensional ito equation |
| topic | Plane-soliton Periodic-soliton Resonant-periodic |
| url | http://www.sciencedirect.com/science/article/pii/S2211379722007173 |
| work_keys_str_mv | AT guhaolu elasticandinelasticinteractionsofperiodicsolutionsforthe21dimensionalitoequation AT aihuachen elasticandinelasticinteractionsofperiodicsolutionsforthe21dimensionalitoequation |