IDEAS home Printed from https://ideas.repec.org/a/spr/indpam/v53y2022i2d10.1007_s13226-021-00207-4.html
   My bibliography  Save this article

Darboux transformation and novel solitons of a coupled system

Author

Listed:
  • Xianghua Jiang

    (Danyang Normal School, Zhenjiang College)

  • Xifang Cao

    (Yangzhou University)

Abstract

In this paper we give a Darboux transformation for a coupled system. As the applications of that system, applying our Darboux transformation to some trivial seed solutions we construct some new solutions, such as kink, soliton, kink-soliton and twins-soliton. The twins-soliton obtained in this paper is a travelling wave solution and so its wave form does not change with the time. We also show that two such twins-solitons are unaltered in shape and speed after the nonlinear interaction.

Suggested Citation

  • Xianghua Jiang & Xifang Cao, 2022. "Darboux transformation and novel solitons of a coupled system," Indian Journal of Pure and Applied Mathematics, Springer, vol. 53(2), pages 413-424, June.
    • Handle: RePEc:spr:indpam:v:53:y:2022:i:2:d:10.1007_s13226-021-00207-4
    DOI: 10.1007/s13226-021-00207-4
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s13226-021-00207-4
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s13226-021-00207-4?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Chen, Su-Su & Tian, Bo & Liu, Lei & Yuan, Yu-Qiang & Zhang, Chen-Rong, 2019. "Conservation laws, binary Darboux transformations and solitons for a higher-order nonlinear Schrödinger system," Chaos, Solitons & Fractals, Elsevier, vol. 118(C), pages 337-346.
    2. Fan Zhang, 2019. "In the Dark," World Bank Publications - Books, The World Bank Group, number 30923.
    3. Du, Zhong & Tian, Bo & Chai, Han-Peng & Sun, Yan & Zhao, Xue-Hui, 2018. "Rogue waves for the coupled variable-coefficient fourth-order nonlinear Schrödinger equations in an inhomogeneous optical fiber," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 90-98.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Qianqian Yang & Qiulan Zhao & Xinyue Li, 2019. "Explicit Solutions and Conservation Laws for a New Integrable Lattice Hierarchy," Complexity, Hindawi, vol. 2019, pages 1-10, June.
    2. Santiago Kopoboru & Gloria Cuevas-Rodríguez & Leticia Pérez-Calero, 2020. "Boards that Make a Difference in Firm’s Acquisitions: The Role of Interlocks and Former Politicians in Spain," Sustainability, MDPI, vol. 12(3), pages 1-19, January.
    3. Wang, Xuezhi & Lei, Zhongfang & Shimizu, Kazuya & Zhang, Zhenya & Lee, Duu-Jong, 2021. "Recent advancements in nanobubble water technology and its application in energy recovery from organic solid wastes towards a greater environmental friendliness of anaerobic digestion system," Renewable and Sustainable Energy Reviews, Elsevier, vol. 145(C).
    4. Mengyuan Qiu & Ji Sha & Sulistyo Utomo, 2020. "Listening to Forests: Comparing the Perceived Restorative Characteristics of Natural Soundscapes before and after the COVID-19 Pandemic," Sustainability, MDPI, vol. 13(1), pages 1-20, December.
    5. Brizeida Raquel Hernández-Sánchez & Giuseppina Maria Cardella & José Carlos Sánchez-García, 2020. "Psychological Factors that Lessen the Impact of COVID-19 on the Self-Employment Intention of Business Administration and Economics’ Students from Latin America," IJERPH, MDPI, vol. 17(15), pages 1-22, July.
    6. Magda Dudek & Marcin Dębowski & Joanna Kazimierowicz & Marcin Zieliński & Piera Quattrocelli & Anna Nowicka, 2022. "The Cultivation of Biohydrogen-Producing Tetraselmis subcordiformis Microalgae as the Third Stage of Dairy Wastewater Aerobic Treatment System," Sustainability, MDPI, vol. 14(19), pages 1-17, September.
    7. Ho-Sang Lee, 2022. "Efficient Color Correction Using Normalized Singular Value for Duststorm Image Enhancement," J, MDPI, vol. 5(1), pages 1-20, January.
    8. Grainger, Corbett A. & Zhang, Fan, 2019. "Electricity shortages and manufacturing productivity in Pakistan," Energy Policy, Elsevier, vol. 132(C), pages 1000-1008.
    9. Azad, Rohit & Chakraborty, Shouvik, 2020. "Green Growth and the Right to Energy in India," Energy Policy, Elsevier, vol. 141(C).
    10. Veni, S. Saravana & Rajan, M.S. Mani, 2021. "Attosecond soliton switching through the interactions of two and three solitons in an inhomogeneous fiber," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    11. Iftekhar Hasan & Stefano Manfredonia, 2021. "Productivity, managers' social connections and the Great Recession," CEIS Research Paper 507, Tor Vergata University, CEIS, revised 10 Mar 2021.
    12. Ryan Federo & Yuliya Ponomareva & Ruth V. Aguilera & Angel Saz‐Carranza & Carlos Losada, 2020. "Bringing owners back on board: A review of the role of ownership type in board governance," Corporate Governance: An International Review, Wiley Blackwell, vol. 28(6), pages 348-371, November.
    13. Yan, Zhaowen & Gao, Bian & Chen, Minru & Cui, Jifeng, 2019. "On the higher order Heisenberg supermagnet model in (2+1)-dimensions," Chaos, Solitons & Fractals, Elsevier, vol. 118(C), pages 94-105.
    14. Nicholas Ryan & Anant Sudarshan, 2020. "Rationing the Commons," NBER Working Papers 27473, National Bureau of Economic Research, Inc.
    15. Qing Zhang & Jing Zhang & Shuai Zhao & Peizhi Song & Yanli Chen & Pu Liu & Chunlan Mao & Xiangkai Li, 2021. "Enhanced Biogas Production by Ligninolytic Strain Enterobacter hormaechei KA3 for Anaerobic Digestion of Corn Straw," Energies, MDPI, vol. 14(11), pages 1-13, May.
    16. Elalami, D. & Carrere, H. & Monlau, F. & Abdelouahdi, K. & Oukarroum, A. & Barakat, A., 2019. "Pretreatment and co-digestion of wastewater sludge for biogas production: Recent research advances and trends," Renewable and Sustainable Energy Reviews, Elsevier, vol. 114(C), pages 1-1.
    17. Newman, David T. & Fast, Nathanael J. & Harmon, Derek J., 2020. "When eliminating bias isn’t fair: Algorithmic reductionism and procedural justice in human resource decisions," Organizational Behavior and Human Decision Processes, Elsevier, vol. 160(C), pages 149-167.
    18. Juan Luis García Guirao & Haci Mehmet Baskonus & Ajay Kumar, 2020. "Regarding New Wave Patterns of the Newly Extended Nonlinear (2+1)-Dimensional Boussinesq Equation with Fourth Order," Mathematics, MDPI, vol. 8(3), pages 1-9, March.
    19. Nicholas Ryan & Anant Sudarshan, 2020. "Rationing the Commons," Cowles Foundation Discussion Papers 2239, Cowles Foundation for Research in Economics, Yale University.
    20. Tian, Wenjing & Li, Jianhao & Zhu, Lirong & Li, Wen & He, Linyan & Gu, Li & Deng, Rui & Shi, Dezhi & Chai, Hongxiang & Gao, Meng, 2021. "Insights of enhancing methane production under high-solid anaerobic digestion of wheat straw by calcium peroxide pretreatment and zero valent iron addition," Renewable Energy, Elsevier, vol. 177(C), pages 1321-1332.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:indpam:v:53:y:2022:i:2:d:10.1007_s13226-021-00207-4. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.