Abstract
We give an introduction to Hirota’s bilinear method, which is particularly efficient for constructing multisoliton solutions to integrable nonlinear evolution equations. We discuss in detail how the method works for equations in the Korteweg–de Vries class and then go through some other classes of equations. Finally we discuss how the existence of multisoliton solutions can be used as an integrability condition and therefore as a method of searching for possible new integrable equations.
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Hietarinta, J. (2009). Hirota’s Bilinear Method and Its Connection with Integrability. In: Mikhailov, A.V. (eds) Integrability. Lecture Notes in Physics, vol 767. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88111-7_9
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DOI: https://doi.org/10.1007/978-3-540-88111-7_9
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