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Izv. Akad. Nauk SSSR Ser. Mat., 1989, Volume 53, Issue 4, Pages 907–910 (Mi izv1281)  

This article is cited in 6 scientific papers (total in 6 papers)

Breaking solitons. II

O. I. Bogoyavlenskii


Abstract: The author constructs a new three-dimensional equation that admits a Lax representation and is integrable by the method of the one-dimensional inverse scattering problem.
Bibliography: 2 titles.

Full text: PDF file (352 kB)
References: PDF file   HTML file

English version:
Mathematics of the USSR-Izvestiya, 1990, 35:1, 245–248

Bibliographic databases:

UDC: 539.2
MSC: Primary 35Q20, 76B25; Secondary 35R30
Received: 25.04.1989

Citation: O. I. Bogoyavlenskii, “Breaking solitons. II”, Izv. Akad. Nauk SSSR Ser. Mat., 53:4 (1989), 907–910; Math. USSR-Izv., 35:1 (1990), 245–248

Citation in format AMSBIB
\Bibitem{Bog89}
\by O.~I.~Bogoyavlenskii
\paper Breaking solitons.~II
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1989
\vol 53
\issue 4
\pages 907--910
\mathnet{http://mi.mathnet.ru/izv1281}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1018755}
\zmath{https://zbmath.org/?q=an:0789.35137}
\transl
\jour Math. USSR-Izv.
\yr 1990
\vol 35
\issue 1
\pages 245--248
\crossref{https://doi.org/10.1070/IM1990v035n01ABEH000700}


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  • http://mi.mathnet.ru/eng/izv/v53/i4/p907

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    Citing articles on Google Scholar: Russian citations, English citations
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    Cycle of papers

    This publication is cited in the following articles:
    1. O. I. Bogoyavlenskii, “Breaking solitons. IV”, Math. USSR-Izv., 37:3 (1991), 475–487  mathnet  crossref  mathscinet  zmath  adsnasa
    2. O. I. Bogoyavlenskii, “Breaking solitons. III”, Math. USSR-Izv., 36:1 (1991), 129–137  mathnet  crossref  mathscinet  zmath  adsnasa
    3. O. I. Bogoyavlenskii, “Breaking solitons in $2+1$-dimensional integrable equations”, Russian Math. Surveys, 45:4 (1990), 1–89  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    4. A.N.W. Hone, “Reciprocal link for 2 + 1-dimensional extensions of shallow water equations”, Applied Mathematics Letters, 13:3 (2000), 37  crossref
    5. M. S. Bruzón, M. L. Gandarias, C. Muriel, J. Ramíres, S. Saez, F. R. Romero, “The Calogero–Bogoyavlenskii–Schiff Equation in $2+1$ Dimensions”, Theoret. and Math. Phys., 137:1 (2003), 1367–1377  mathnet  crossref  crossref  mathscinet  isi
    6. Zhao Song-Lin, Zhang Da-Jun, Ji Jie, “Exact Solutions for Two Equation Hierarchies”, Chinese Phys Lett, 27:2 (2010), 020201  crossref  isi
  • Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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