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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.20059 |
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| _version_ | 1866929561223036928 |
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| author | An, Yong-Ning Guo, Rui |
| author_facet | An, Yong-Ning Guo, Rui |
| contents | In this paper, the relation between the integer partition theory and a kind of rational solution of the dispersion long wave equations is studied. For the integer partition λ= (λ1,λ2,... ,λn) of positive integer N, with the degree vector m = (m1,m2,... ,mn), the corresponding M lump solution can be obtained where M = N + n mn. Combined with the generalized Schur polynomial and heat polynomial, the asymptotic positions of peaks are studied, and the arrangement of multi-peak groups in multi-lump solutions are obtained, as well as the relationship between the patterns formed by single-peak groups and the corresponding integer partition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_20059 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Construction and analysis of multi-lump solutions of dispersive long wave equations via integer partitions An, Yong-Ning Guo, Rui Mathematical Physics In this paper, the relation between the integer partition theory and a kind of rational solution of the dispersion long wave equations is studied. For the integer partition λ= (λ1,λ2,... ,λn) of positive integer N, with the degree vector m = (m1,m2,... ,mn), the corresponding M lump solution can be obtained where M = N + n mn. Combined with the generalized Schur polynomial and heat polynomial, the asymptotic positions of peaks are studied, and the arrangement of multi-peak groups in multi-lump solutions are obtained, as well as the relationship between the patterns formed by single-peak groups and the corresponding integer partition. |
| title | Construction and analysis of multi-lump solutions of dispersive long wave equations via integer partitions |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2410.20059 |