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Teoreticheskaya i Matematicheskaya Fizika, 1996, Volume 106, Number 2, Pages 200–208
DOI: https://doi.org/10.4213/tmf1107 (Mi tmf1107) 		 
This article is cited in 14 scientific papers (total in 14 papers)

On nonsolution structure of scattering data under perturbation of two-dimensional soliton for Davey–Stewartson equation II

R. R. Gadyl'shin, O. M. Kiselev

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Full-text PDF (239 kB) Citations (14)
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DOI: https://doi.org/10.4213/tmf1107
Abstract: Asymptotics of the scattering data is constructed for Davey–Stewartson II equation in the case of perturbation of soliton. It is shown that the scattering data of the perturbed problem have a nonsoliton structure.
Received: 31.03.1995
English version:
Theoretical and Mathematical Physics, 1996, Volume 106, Issue 2, Pages 167–173
DOI: https://doi.org/10.1007/BF02071071
Bibliographic databases:
Language: Russian
Citation: R. R. Gadyl'shin, O. M. Kiselev, “On nonsolution structure of scattering data under perturbation of two-dimensional soliton for Davey–Stewartson equation II”, TMF, 106:2 (1996), 200–208; Theoret. and Math. Phys., 106:2 (1996), 167–173
Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
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\vol 106
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\pages 167--173
\crossref{https://doi.org/10.1007/BF02071071}
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Linking options:
  • https://www.mathnet.ru/eng/tmf1107
  • https://doi.org/10.4213/tmf1107
  • https://www.mathnet.ru/eng/tmf/v106/i2/p200
    • This publication is cited in the following 14 articles:
    1. Brown R.M. Perry P.A., “Soliton Solutions and Their (in)Stability For the Focusing Davey-Stewartson II Equation”, Nonlinearity, 31:9 (2018), 4290–4325  crossref  zmath  isi  scopus
    2. Yurova A.A., Yurov V.A., “Evolyutsiya pervonachalno lokalizovannogo impulsa v uravnenii devi-styuartsona ii tipa”, Izvestiya Kaliningradskogo gosudarstvennogo tekhnicheskogo universiteta, 2011, no. 20, 84–88  elib
    3. Yurova A.A., “Dinamika lokalizovannogo impulsa, opisyvaemogo uravneniem devi - styuartsona ii”, Vestnik Baltiiskogo federalnogo universiteta im. I. Kanta, 2011, no. 5, 12–17  elib
    4. Glebov, S, “Slow passage through resonance for a weakly nonlinear dispersive wave”, SIAM Journal on Applied Mathematics, 65:6 (2005), 2158  crossref  mathscinet  zmath  isi  scopus  scopus  scopus
    5. O. M. Kiselev, “Higher-dimensional nonlinear integrable equations: asymptotics of solutions and perturbations”, J Math Sci, 125:5 (2005), 689  crossref
    6. O. M. Kiselev, “Higher-dimensional nonlinear integrable equations: Asymptotics of solutions and perturbations”, J Math Sci, 125:5 (2005), 689  crossref
    7. 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
    8. Pelinovsky, D, “Gauge transformation and spectral decomposition for the Ishimori-II equations”, Journal of Physics A-Mathematical and General, 36:20 (2003), 5557  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    9. Fokas, AS, “Interaction of lumps with a line soliton for the DSII equation”, Physica D-Nonlinear Phenomena, 152 (2001), 189  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    10. 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
    11. Pelinovsky, DE, “Spectral decomposition for the Dirac system associated to the DSII equation”, Inverse Problems, 16:1 (2000), 59  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    12. F. Calogero, “Book Reviews by F Calogero”, JNMP, 7:4 (2000)  crossref
    13. R. R. Gadyl'shin, O. M. Kiselev, “Structural instability of a soliton for the Davey–Stewartson II equation”, Theoret. and Math. Phys., 118:3 (1999), 278–284  mathnet  crossref  crossref  mathscinet  zmath  isi
    14. Kiselev, OM, “Perturbation theory for the Dirac equation in two-dimensional space”, Journal of Mathematical Physics, 39:4 (1998), 2333  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
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