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Bilinear formalism in solition theory

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Book cover Integrability of Nonlinear Systems

Part of the book series: Lecture Notes in Physics ((LNP,volume 495))

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Abstract

A brief survey of the bilinear formalism discovered by Hirota is given. First, the procedure to obtain solition solutions of nonlinear evolution equations is discussed. Then the algebraic structure of the equations in bilinear form is explained in a simple way. A few extensions of the formalism are also presented.

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Authors and Affiliations

  1. Department of Mathematical Sciences, University of Tokyo, Komaba, Meguro-ku, 153, Tokyo, Japan

    J. Satsuma

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  1. J. Satsuma
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Editor information

Y. Kosmann-Schwarzbach B. Grammaticos K. M. Tamizhmani

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© 1997 Springer-Verlag

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Satsuma, J. (1997). Bilinear formalism in solition theory. In: Kosmann-Schwarzbach, Y., Grammaticos, B., Tamizhmani, K.M. (eds) Integrability of Nonlinear Systems. Lecture Notes in Physics, vol 495. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0113699

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  • DOI: https://doi.org/10.1007/BFb0113699

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63353-2

  • Online ISBN: 978-3-540-69521-9

  • eBook Packages: Springer Book Archive

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