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Vector semi-rational rogon-solitons and asymptotic analysis for any multi-component Hirota equations with mixed backgrounds
Weng, Weifang1,2; Zhang, Guoqiang1; Chen, Shuyan3; Zhou, Zijian1,2; Yan, Zhenya1,2
2022-09-01
Source PublicationCOMMUNICATIONS IN THEORETICAL PHYSICS
ISSN0253-6102
Volume74Issue:9Pages:17
AbstractThe Hirota equation can be used to describe the wave propagation of an ultrashort optical field. In this paper, the multi-component Hirota (alias n-Hirota, i.e. n-component third-order nonlinear Schrodinger) equations with mixed non-zero and zero boundary conditions are explored. We employ the multiple roots of the characteristic polynomial related to the Lax pair and modified Darboux transform to find vector semi-rational rogon-soliton solutions (i.e. nonlinear combinations of rogon and soliton solutions). The semi-rational rogon-soliton features can be modulated by the polynomial degree. For the larger solution parameters, the first m (m < n) components with non-zero backgrounds can be decomposed into rational rogons and grey-like solitons, and the last n - m components with zero backgrounds can approach bright-like solitons. Moreover, we analyze the accelerations and curvatures of the quasi-characteristic curves, as well as the variations of accelerations with the distances to judge the interaction intensities between rogons and grey-like solitons. We also find the semi-rational rogon-soliton solutions with ultra-high amplitudes. In particular, we can also deduce vector semi-rational solitons of the n-component complex mKdV equation. These results will be useful to further study the related nonlinear wave phenomena of multi-component physical models with mixed background, and even design the related physical experiments.
KeywordMulti-componentHirotaequations mixedbackgrounds modifiedDarbouxtransform semi-rational RWs and W-shaped solitons asymptotic analysis
DOI10.1088/1572-9494/ac6799
Indexed BySCI
Language英语
Funding ProjectNational Natural Science Foundation of China[11 925 108] ; National Natural Science Foundation of China[11 731 014]
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
WOS IDWOS:000847875800001
PublisherIOP Publishing Ltd
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/61069
Collection中国科学院数学与系统科学研究院
Corresponding AuthorYan, Zhenya
Affiliation1.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
3.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
Recommended Citation
GB/T 7714
Weng, Weifang,Zhang, Guoqiang,Chen, Shuyan,et al. Vector semi-rational rogon-solitons and asymptotic analysis for any multi-component Hirota equations with mixed backgrounds[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2022,74(9):17.
APA Weng, Weifang,Zhang, Guoqiang,Chen, Shuyan,Zhou, Zijian,&Yan, Zhenya.(2022).Vector semi-rational rogon-solitons and asymptotic analysis for any multi-component Hirota equations with mixed backgrounds.COMMUNICATIONS IN THEORETICAL PHYSICS,74(9),17.
MLA Weng, Weifang,et al."Vector semi-rational rogon-solitons and asymptotic analysis for any multi-component Hirota equations with mixed backgrounds".COMMUNICATIONS IN THEORETICAL PHYSICS 74.9(2022):17.
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