Abstract

In this paper, multi-soliton solutions of the fifth-order Kaup–Kupershmidt (KK) equation have been derived via the auxiliary function in conjunction with the bilinear method. These solutions have not been previously obtained. Propagation and interactions of three solitons have been presented analytically. The direction of the soliton is related to the signs of the parameters [Formula: see text]. The distances of the solitons are related to the values of the parameters [Formula: see text].

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