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Teoreticheskaya i Matematicheskaya Fizika, 2007, Volume 151, Number 3, Pages 371–379
DOI: https://doi.org/10.4213/tmf6052 (Mi tmf6052) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Algorithmic construction of lumps

P. G. Estevez, J. Prada

University of Salamanca
Full-text PDF (843 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf6052
Abstract: We use the singular manifold method to generate lump solutions of a Schrödinger equation in 2+1 dimensions and present three different types of such solutions.
Keywords: Lax pair, lump, Painlevé property, singular manifold, Darboux transformation.
English version:
Theoretical and Mathematical Physics, 2007, Volume 151, Issue 3, Pages 744–751
DOI: https://doi.org/10.1007/s11232-007-0060-x
Bibliographic databases:
Language: Russian
Citation: P. G. Estevez, J. Prada, “Algorithmic construction of lumps”, TMF, 151:3 (2007), 371–379; Theoret. and Math. Phys., 151:3 (2007), 744–751
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/tmf6052
  • https://doi.org/10.4213/tmf6052
  • https://www.mathnet.ru/eng/tmf/v151/i3/p371
    • This publication is cited in the following 2 articles:
    1. Zhao Zh., He L., Gao Yu., “Rogue Wave and Multiple Lump Solutions of the (2+1)-Dimensional Benjamin-Ono Equation in Fluid Mechanics”, Complexity, 2019 (2019), 8249635  crossref  isi
    2. Al Khawaja U., “Interaction Forces Among Two-Dimensional Bright Solitons and Many-Soliton Molecules”, Phys. Rev. E, 85:5, Part 2 (2012), 056604  crossref  adsnasa  isi  scopus
    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:332
    Full-text PDF :187
    References:70
    First page:2
     
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