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The multi-triple-pole solitons for the focusing mKdV hierarchy with nonzero boundary conditions

文献类型：期刊论文

作者Weng, Weifang; Yan, Zhenya1
刊名MODERN PHYSICS LETTERS B
出版日期2021-11-20
卷号35期号:32页码:24
ISSN号0217-9849
关键词Modified KdV hierarchy nonzero boundary conditions Riemann-Hilbert problem multi-triple-pole solitons and breathers
DOI10.1142/S0217984921504832
英文摘要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.
资助项目NSFC[11925108] ; NSFC[11731014]
WOS研究方向Physics
语种英语
出版者WORLD SCIENTIFIC PUBL CO PTE LTD
WOS记录号WOS:000713305600006
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/59498]  
专题中国科学院数学与系统科学研究院
通讯作者Yan, Zhenya
作者单位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
推荐引用方式
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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来源：数学与系统科学研究院

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