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Introduction to the Hirota bilinear method

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Integrability of Nonlinear Systems

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

Abstract

We give an elementary introduction to Hirota’s direct method of constructing multisoliton solutions to integrable nonlinear evolution equations. We discuss in detail how this works for equations in the Korteweg-de Vries class. We also show how Hirota’s method can be used to search for new integrable evolution equations and list the results that have been obtained before for the mKdV/sG and nlS classes.

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Authors and Affiliations

  1. Department of Physics, University of Turku, FIN-20014, Turku, Finland

    J. Hietarinta

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  1. J. Hietarinta
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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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Hietarinta, J. (1997). Introduction to the Hirota bilinear method. 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/BFb0113694

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  • DOI: https://doi.org/10.1007/BFb0113694

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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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