Abstract
In this paper, we investigate the coupled Sasa–Satsuma equations for the propagation of the ultrashort pulse in optical media. Through the binary Bell polynomials and introduction of three auxiliary functions, bilinear form, vector single- and double-hump soliton solutions in bright-dark form are obtained. To our knowledge, vector double-hump solitons in bright-dark form have not been studied in the existing literature. Based on those solutions, (i) parametric conditions for the existence of the vector single- and double-hump solitons, (ii) four types of soliton amplitudes and (iii) the interval between the two peaks for the double-hump soliton are presented analytically.
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