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Dromion Solutions for Generic NLS- and KdV-Type Equations

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Book cover Nonlinear Evolution Equations and Dynamical Systems

Part of the book series: Research Reports in Physics ((RESREPORTS))

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Abstract

Within Hirota’s bilinear formalism one can easily construct at least one- dromion solutions (IDS) for generic equations of nonlinear Schrödinger (nlS) and Korteweg- de Vries (KdV) type [1–3]. In the construction of these dromion solutions one has to make a clear distinction between the physical function and all the other functions that appear in the equation.

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References

  1. J. Hietarinta and R. Hirota: “Multidromion solutions to the Davey-Stewartson equation”, Phys. Lett. A 145, 237 (1990).

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  2. J. Hietarinta: “One-dromion solutions for generic classes of equations”, Phys. Lett A (in press).

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  3. J. Hietarinta and J. Ruokolainen: “Dromions — the movie”, 15min video (1990)

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© 1991 Springer-Verlag Berlin Heidelberg

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Hietarinta, J. (1991). Dromion Solutions for Generic NLS- and KdV-Type Equations. In: Makhankov, V.G., Pashaev, O.K. (eds) Nonlinear Evolution Equations and Dynamical Systems. Research Reports in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76172-0_15

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  • DOI: https://doi.org/10.1007/978-3-642-76172-0_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53294-1

  • Online ISBN: 978-3-642-76172-0

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