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Teoreticheskaya i Matematicheskaya Fizika, 2022, Volume 212, Number 3, Pages 374–385
DOI: https://doi.org/10.4213/tmf10270 (Mi tmf10270) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Darboux transformation for the defocusing modified complex short-pulse equation and its multi-dark-soliton solutions

Hui Maoab, Chunjing Moa, Weicai Pangc

a School of Mathematics and Statistics, Nanning Normal University, Nanning, China
b Guangxi Key Lab of Human-machine Interaction and Intelligent Decision, Nanning Normal University, Nanning, China
c School of Statistics and Management, Shanghai University of Finance and Economics, Shanghai, China
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DOI: https://doi.org/10.4213/tmf10270
Abstract: We consider the defocusing modified complex short-pulse equation. The Darboux transformation for this equation is constructed with the help of the reciprocal transformation and the associated defocusing modified complex short-pulse equation. As an application, the multi-dark-soliton solutions of the defocusing modified complex short-pulse equation are presented in determinant form.
Keywords: defocusing complex modified short-pulse equation, reciprocal transformation, Darboux transformation, multi-dark-soliton solution.
Funding agency Grant number
National Natural Science Foundation of China 11905110
11871471
Natural Science Foundation of Guangxi Zhuang autonomous region 2022GXNSFAA035598
This work is supported by the Natural Science Foundation of Guangxi Zhuang autonomous region, China (grant No. 2022GXNSFAA035598) and the National Natural Science Foundation of China (grant Nos. 11905110 and 11871471).
Received: 22.02.2022
Revised: 16.04.2022
English version:
Theoretical and Mathematical Physics, 2022, Volume 212, Issue 3, Pages 1211–1221
DOI: https://doi.org/10.1134/S0040577922090045
Bibliographic databases:
Document Type: Article
MSC: 37K10; 35Q58
Language: Russian
Citation: Hui Mao, Chunjing Mo, Weicai Pang, “Darboux transformation for the defocusing modified complex short-pulse equation and its multi-dark-soliton solutions”, TMF, 212:3 (2022), 374–385; Theoret. and Math. Phys., 212:3 (2022), 1211–1221
Citation in format AMSBIB
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\paper Darboux transformation for the~defocusing modified complex short-pulse equation and its multi-dark-soliton solutions
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\pages 374--385
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  • https://www.mathnet.ru/eng/tmf10270
  • https://doi.org/10.4213/tmf10270
  • https://www.mathnet.ru/eng/tmf/v212/i3/p374
    • This publication is cited in the following 2 articles:
    1. Hong-Qian Sun, Shou-Feng Shen, Zuo-Nong Zhu, “Asymptotic Analysis of Soliton Solutions for the Coupled Modified Complex Short Pulse Equation by Binary Darboux Transformation”, J Nonlinear Sci, 35:3 (2025)  crossref
    2. Cong Lv, Shoufeng Shen, Q.P. Liu, “Inverse scattering transform for the coupled modified complex short pulse equation: Riemann–Hilbert approach and soliton solutions”, Physica D: Nonlinear Phenomena, 458 (2024), 133986  crossref  mathscinet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:180
    Full-text PDF :66
    References:40
    First page:3
     
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