M-Lump Solution, Semirational Solution, and Self-Consistent Source Extension of a Novel 2+1-Dimensional KdV Equation
In this paper, we derive the M-lump solution in terms of Matsuno determinant for the combined KP3 and KP4 (cKP3-4) equation by applying the double-sum identities for determinant and investigate the dynamical behaviors of 1- and 2-lump solutions. In addition, we derive the Grammian solution for the c...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2022/8105654 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832545872047505408 |
|---|---|
| author | Rihan Hai Hasi Gegen |
| author_facet | Rihan Hai Hasi Gegen |
| author_sort | Rihan Hai |
| collection | DOAJ |
| description | In this paper, we derive the M-lump solution in terms of Matsuno determinant for the combined KP3 and KP4 (cKP3-4) equation by applying the double-sum identities for determinant and investigate the dynamical behaviors of 1- and 2-lump solutions. In addition, we derive the Grammian solution for the cKP3-4 equation and construct the semirational solutions from the Grammian solution. Through the asymptotic analysis, we show that the semirational solutions describe fusion and fission of lumps and line solitons and rogue lump phenomena. Furthermore, we construct the cKP3-4 equation with self-consistent sources via the source generation procedure and present its Grammian and Wronskian solution. |
| format | Article |
| id | doaj-art-a0dc71b16f584b51b93eb43946a17870 |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-a0dc71b16f584b51b93eb43946a178702025-02-03T07:24:26ZengWileyAdvances in Mathematical Physics1687-91392022-01-01202210.1155/2022/8105654M-Lump Solution, Semirational Solution, and Self-Consistent Source Extension of a Novel 2+1-Dimensional KdV EquationRihan Hai0Hasi Gegen1School of Mathematical ScienceSchool of Mathematical ScienceIn this paper, we derive the M-lump solution in terms of Matsuno determinant for the combined KP3 and KP4 (cKP3-4) equation by applying the double-sum identities for determinant and investigate the dynamical behaviors of 1- and 2-lump solutions. In addition, we derive the Grammian solution for the cKP3-4 equation and construct the semirational solutions from the Grammian solution. Through the asymptotic analysis, we show that the semirational solutions describe fusion and fission of lumps and line solitons and rogue lump phenomena. Furthermore, we construct the cKP3-4 equation with self-consistent sources via the source generation procedure and present its Grammian and Wronskian solution.http://dx.doi.org/10.1155/2022/8105654 |
| spellingShingle | Rihan Hai Hasi Gegen M-Lump Solution, Semirational Solution, and Self-Consistent Source Extension of a Novel 2+1-Dimensional KdV Equation Advances in Mathematical Physics |
| title | M-Lump Solution, Semirational Solution, and Self-Consistent Source Extension of a Novel 2+1-Dimensional KdV Equation |
| title_full | M-Lump Solution, Semirational Solution, and Self-Consistent Source Extension of a Novel 2+1-Dimensional KdV Equation |
| title_fullStr | M-Lump Solution, Semirational Solution, and Self-Consistent Source Extension of a Novel 2+1-Dimensional KdV Equation |
| title_full_unstemmed | M-Lump Solution, Semirational Solution, and Self-Consistent Source Extension of a Novel 2+1-Dimensional KdV Equation |
| title_short | M-Lump Solution, Semirational Solution, and Self-Consistent Source Extension of a Novel 2+1-Dimensional KdV Equation |
| title_sort | m lump solution semirational solution and self consistent source extension of a novel 2 1 dimensional kdv equation |
| url | http://dx.doi.org/10.1155/2022/8105654 |
| work_keys_str_mv | AT rihanhai mlumpsolutionsemirationalsolutionandselfconsistentsourceextensionofanovel21dimensionalkdvequation AT hasigegen mlumpsolutionsemirationalsolutionandselfconsistentsourceextensionofanovel21dimensionalkdvequation |