Publication: Localized coherent structures of the Davey-Stewartson equation in the bilinear formalism
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Publication Date
1992-09
Authors
Medina Reus, Elena
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American Institute of Physics
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Abstract
The DaveyStewartson equation is considered from the point of view of the bilinear formalism of the Kyoto school. Multidromion solutions are constructed in terms of free fermions and their asymptotic properties are characterized. The dynamical properties of dromions are discussed.
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©1992 American institute of Physics.
The authors would like to thank Professor M. Jaulent for many helpful conversations and the Laboratoire de Physique-Mathematique of Montpellier for kind hopitality while part of this work was done. Financial support from the Direcci6n General de Investigacibn Cientifica y Ticnica DGICYT is also aknowledged.
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1. M. Boiti, J. Leon, L. Martina, and F. Pempinelli, Phys. Lett. A 132, 432 (1988).
2. A. S. Fokas and P. M. Santini, Phys. Rev. Lett. 63, 1329 (1989).
3. J. Hietarinta and R. Hirota, Phys. Lett. A 145, 237 (1990); see also M. Jaulent and L. Martinez Alonso, “Multidimensional solitons in terms of Fermions,” in Inverse Problems in Action, edited by P. C. Sabatier (Springer-Verlag, Berlin, 1990).
4. R. Herández Heredero, L. Martínez Alonso, and E. Medina Reus, Phys. Lett. A 152, 37 (1991); M. Jaulent, M. A. Manna, and L. Martinez Alonso, Phys. Lett. A 151, 303 (1990).
5. A. Davey and K. Stewartson, Proc. R. Sot. London, Ser. A 338, 101 (1974).
6. M J. Ablowitz and H. Segur, Solitons and the Inverse Scattering Transform (SIAM. Philadelnhia. 1981).
7. F. &ogero. and w. Eckhau’s, II&. Pro&. 3, L27 ( 1987).
8. P. M. Santini, Physica D 41, 26 (1990).
9. A. S. Fokas and P. M. Santini, Physica D 44, 99 (1990).
10. M. Boiti, J. Leon, and F. Pempinelli, “On the Spectral Theory for the Davey-Stewartson Equation,” in Inverse Problems in Action, edited by P. C. Sabatier (Springer- Verlag, Berlin, 1990).
11. E. Date, M. Kashiwara, and T. Miwa, “Transformation Groups for Soliton Equations,” in Nonlinear Integrable Systems-Classicat Theory and Quantum Theory, edited by M. Jimbo and T. Miwa (World Scientific, Singapore, 1983).
12. M. Jimbo and T. Miwa, Publ. RIMS Kyoto Univ. 19, 943 (1983).
13. J. Satsuma and M. J. Ablowitz, J. Math. Phys. 20, 1496 (1979).
14. V. G. Kac and D. H. Peterson, “Lectures on the Infinite Wedge Representation and the MKP Hierarchy,” Sem. Math. Sup. Vol. 102, (Presse Univ. Montreal, Montreal 1986).
15. J. M. Levy-Leblond, “Galilei Group and Galilean Invariance” in Group Theory and its Applications IZ, edited by E. M. Loebl (Academic, New York, 1971).