KMS Of Academy of mathematics and systems sciences, CAS
| The multi-triple-pole solitons for the focusing mKdV hierarchy with nonzero boundary conditions | |
| Weng, Weifang; Yan, Zhenya1 | |
| 2021-11-20 | |
| Source Publication | MODERN PHYSICS LETTERS B
 |
| ISSN | 0217-9849 |
| Volume | 35Issue:32Pages:24 |
| Abstract | In this paper, the general triple-pole multi-soliton solutions are proposed for the focusing modified Korteweg-de Vries (mKdV) equation with both nonzero boundary conditions (NZBCs) and triple zeros of analytical scattering coefficients by means of the inverse scattering transform. Furthermore, we also give the corresponding trace formulae and theta conditions. Particularly, we analyze some representative reflectionless potentials containing the triple-pole multi-dark-anti-dark solitons and breathers. The idea can also be extended to the whole mKdV hierarchy (e.g. the fifth-order mKdV equation, and third-fifth-order mKdV equation) with NZBCs and triple zeros of analytical scattering coefficients. Moreover, these obtained triple-pole solutions can also be degenerated to the triple-pole soliton solutions with zero boundary conditions. |
| Keyword | Modified KdV hierarchy nonzero boundary conditions Riemann-Hilbert problem multi-triple-pole solitons and breathers |
| DOI | 10.1142/S0217984921504832 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | NSFC[11925108] ; NSFC[11731014] |
| WOS Research Area | Physics |
| WOS Subject | Physics, Applied ; Physics, Condensed Matter ; Physics, Mathematical |
| WOS ID | WOS:000713305600006 |
| Publisher | WORLD SCIENTIFIC PUBL CO PTE LTD |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/59499 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Yan, Zhenya |
| Affiliation | 1.Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| Recommended Citation GB/T 7714 | Weng, Weifang,Yan, Zhenya. The multi-triple-pole solitons for the focusing mKdV hierarchy with nonzero boundary conditions[J]. MODERN PHYSICS LETTERS B,2021,35(32):24. |
| APA | Weng, Weifang,&Yan, Zhenya.(2021).The multi-triple-pole solitons for the focusing mKdV hierarchy with nonzero boundary conditions.MODERN PHYSICS LETTERS B,35(32),24. |
| MLA | Weng, Weifang,et al."The multi-triple-pole solitons for the focusing mKdV hierarchy with nonzero boundary conditions".MODERN PHYSICS LETTERS B 35.32(2021):24. |
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