Soliton molecules, asymmetric solitons and hybrid solutions for KdV–CDG equation
In this paper studies the Korteweg–de Vries–Caudrey–Dodd–Gibbon equation (KdV–CDG). Based on the N-soliton solutions, soliton molecules and asymmetric solitons of the equation are obtained by means of velocity resonance method. Then the breathers of the equation is obtained by using the principle of...
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| Format: | Article |
| Language: | English |
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Elsevier
2022-06-01
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| Series: | Partial Differential Equations in Applied Mathematics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S266681812100111X |
| _version_ | 1818204827619950592 |
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| author | Hongcai Ma Huaiyu Huang Aiping Deng |
| author_facet | Hongcai Ma Huaiyu Huang Aiping Deng |
| author_sort | Hongcai Ma |
| collection | DOAJ |
| description | In this paper studies the Korteweg–de Vries–Caudrey–Dodd–Gibbon equation (KdV–CDG). Based on the N-soliton solutions, soliton molecules and asymmetric solitons of the equation are obtained by means of velocity resonance method. Then the breathers of the equation is obtained by using the principle of mode resonance, and a new hybrid solution containing soliton molecules, asymmetric solitons and breathers is obtained. Finally, by analyzing the dynamic diagram of the solution of the interaction, we know that their interaction is elastic, because their velocities do not change after the collision, even though their kivalues are different. |
| first_indexed | 2024-12-12T03:47:26Z |
| format | Article |
| id | doaj.art-ee36aa8507934df3b16c80dda5ed3d62 |
| institution | Directory Open Access Journal |
| issn | 2666-8181 |
| language | English |
| last_indexed | 2024-12-12T03:47:26Z |
| publishDate | 2022-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj.art-ee36aa8507934df3b16c80dda5ed3d622022-12-22T00:39:29ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812022-06-015100214Soliton molecules, asymmetric solitons and hybrid solutions for KdV–CDG equationHongcai Ma0Huaiyu Huang1Aiping Deng2Department of Applied Mathematics, Donghua University, Shanghai 201620, China; Institute for Nonlinear Sciences, Donghua University, Shanghai 201620, China; Corresponding author.Department of Applied Mathematics, Donghua University, Shanghai 201620, ChinaDepartment of Applied Mathematics, Donghua University, Shanghai 201620, China; Institute for Nonlinear Sciences, Donghua University, Shanghai 201620, ChinaIn this paper studies the Korteweg–de Vries–Caudrey–Dodd–Gibbon equation (KdV–CDG). Based on the N-soliton solutions, soliton molecules and asymmetric solitons of the equation are obtained by means of velocity resonance method. Then the breathers of the equation is obtained by using the principle of mode resonance, and a new hybrid solution containing soliton molecules, asymmetric solitons and breathers is obtained. Finally, by analyzing the dynamic diagram of the solution of the interaction, we know that their interaction is elastic, because their velocities do not change after the collision, even though their kivalues are different.http://www.sciencedirect.com/science/article/pii/S266681812100111XThe KdV–CDG equationSoliton moleculesAsymmetric solitonsHybrid solutionsVelocity resonance method |
| spellingShingle | Hongcai Ma Huaiyu Huang Aiping Deng Soliton molecules, asymmetric solitons and hybrid solutions for KdV–CDG equation Partial Differential Equations in Applied Mathematics The KdV–CDG equation Soliton molecules Asymmetric solitons Hybrid solutions Velocity resonance method |
| title | Soliton molecules, asymmetric solitons and hybrid solutions for KdV–CDG equation |
| title_full | Soliton molecules, asymmetric solitons and hybrid solutions for KdV–CDG equation |
| title_fullStr | Soliton molecules, asymmetric solitons and hybrid solutions for KdV–CDG equation |
| title_full_unstemmed | Soliton molecules, asymmetric solitons and hybrid solutions for KdV–CDG equation |
| title_short | Soliton molecules, asymmetric solitons and hybrid solutions for KdV–CDG equation |
| title_sort | soliton molecules asymmetric solitons and hybrid solutions for kdv cdg equation |
| topic | The KdV–CDG equation Soliton molecules Asymmetric solitons Hybrid solutions Velocity resonance method |
| url | http://www.sciencedirect.com/science/article/pii/S266681812100111X |
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