Abstract
Using a particular class of symmetries of Hirota bilinear soliton equations we reduce them into bilinear ordinary differential equations.We convert these bilinear equations into nonlinear forms. By this process we obtain a class of higher order equations of Painlevé type.
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Tamizhmani, K., Grammaticos, B., Ramani, A., Ohta, Y., Tamizhmani, T. (2006). SIMILARITY REDUCTIONS OF HIROTA BILINEAR EQUATIONS AND PAINLEVÉ EQUATIONS. In: Faddeev, L., Van Moerbeke, P., Lambert, F. (eds) Bilinear Integrable Systems: From Classical to Quantum, Continuous to Discrete. NATO Science Series, vol 201. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-3503-6_27
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DOI: https://doi.org/10.1007/978-1-4020-3503-6_27
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-3501-2
Online ISBN: 978-1-4020-3503-6
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