The Kaup–Broer hierarchy can be considered as a certain reduction of the KP hierarchy. Upon introducing the τ‐function the Kaup–Broer system can be formulated in trilinear form giving rise to Wronskian solutions. In this paper several odes of the Painlevé type obtained through reductions of the Kaup–Broer system are considered. Those odes take a trilinear form which allows a linearization.
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Research Article| November 01 1994
The Kaup–Broer system and trilinear odes of Painlevé type
Walter Strampp; The Kaup–Broer system and trilinear odes of Painlevé type. J. Math. Phys. 1 November 1994; 35 (11): 5850–5861. https://doi.org/10.1063/1.530714
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