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Teoreticheskaya i Matematicheskaya Fizika, 1998, Volume 114, Number 1, Pages 104–114
DOI: https://doi.org/10.4213/tmf831 (Mi tmf831) 		 
This article is cited in 7 scientific papers (total in 7 papers)

An asymptotic solution of the Cauchy problem for the Davey–Stewartson-I equation

O. M. Kiselev

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Full-text PDF (223 kB) Citations (7)
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DOI: https://doi.org/10.4213/tmf831
Abstract: We construct an asymptotic solution of the Cauchy problem for the Davey–Stewartson-I equation as t→∞. The solution, which is of order t−1, is rapidly oscillating. The envelope of the oscillations can be defined by an integral equation.
Received: 18.07.1997
English version:
Theoretical and Mathematical Physics, 1998, Volume 114, Issue 1, Pages 81–89
DOI: https://doi.org/10.1007/BF02557110
Bibliographic databases:
Language: Russian
Citation: O. M. Kiselev, “An asymptotic solution of the Cauchy problem for the Davey–Stewartson-I equation”, TMF, 114:1 (1998), 104–114; Theoret. and Math. Phys., 114:1 (1998), 81–89
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/tmf831
  • https://doi.org/10.4213/tmf831
  • https://www.mathnet.ru/eng/tmf/v114/i1/p104
    • This publication is cited in the following 7 articles:
    1. M. A. Filippov, M. A. Gervasyev, G. N. Plotnikov, S. M. Nikiforova, A. S. Zhilin, “THE USE OF CARBON, HIGH-CHROMIUM STEELS FOR LINERS OF MUD PUMPS AND DRILLING RIGS”, Oil and Gas Studies, 2017, no. 3, 135  crossref
    2. Klein Ch. Saut J.-C., “IST Versus PDE: A Comparative Study”, Hamiltonian Partial Differential Equations and Applications, Fields Institute Communications, ed. Guyenne P. Nicholls D. Sulem C., Springer, 2015, 383–449  crossref  mathscinet  zmath  isi
    3. O. M. Kiselev, “Higher-dimensional nonlinear integrable equations: asymptotics of solutions and perturbations”, J Math Sci, 125:5 (2005), 689  crossref
    4. O. M. Kiselev, “Higher-dimensional nonlinear integrable equations: Asymptotics of solutions and perturbations”, J Math Sci, 125:5 (2005), 689  crossref
    5. O. M. Kiselev, “Asymptotics of solutions of higher-dimensional integrable equations and their perturbations”, Journal of Mathematical Sciences, 138:6 (2006), 6067–6230  mathnet  crossref  mathscinet  zmath  elib
    6. Kiselev, OM, “Dromion perturbation for the Davey-Stewartson-1 equations”, Journal of Nonlinear Mathematical Physics, 7:4 (2000), 411  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    7. F. Calogero, “Book Reviews by F Calogero”, JNMP, 7:4 (2000)  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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