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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 160, Number 1, Pages 178–188
DOI: https://doi.org/10.4213/tmf6389 (Mi tmf6389) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Relativistic Burgers and nonlinear Schrödinger equations

O. K. Pashaev

Izmir Institute of Technology
Full-text PDF (365 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf6389
Abstract: We construct relativistic complex Burgers–Schrödinger and nonlinear Schrödinger equations. In the nonrelativistic limit, they reduce to the standard Burgers and nonlinear Schrödinger equations and are integrable through all orders of relativistic corrections.
Keywords: semirelativistic nonlinear Schrödinger equation, relativistic Burgers–Schrödinger equation, nonlinear Schrödinger hierarchy, relativistic dispersion, recursion operator.
English version:
Theoretical and Mathematical Physics, 2009, Volume 160, Issue 1, Pages 1022–1030
DOI: https://doi.org/10.1007/s11232-009-0093-4
Bibliographic databases:
Language: Russian
Citation: O. K. Pashaev, “Relativistic Burgers and nonlinear Schrödinger equations”, TMF, 160:1 (2009), 178–188; Theoret. and Math. Phys., 160:1 (2009), 1022–1030
Citation in format AMSBIB
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\by O.~K.~Pashaev
\paper Relativistic Burgers and nonlinear Schr\"odinger equations
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\transl
\jour Theoret. and Math. Phys.
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\issue 1
\pages 1022--1030
\crossref{https://doi.org/10.1007/s11232-009-0093-4}
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  • https://doi.org/10.4213/tmf6389
  • https://www.mathnet.ru/eng/tmf/v160/i1/p178
    • This publication is cited in the following 5 articles:
    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:586
    Full-text PDF :240
    References:68
    First page:26
     
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