New soliton solutions for Chen-Lee-Liu and Burgers hierarchies and its Bäcklund transformations
This paper formulates positive and negative flows of the Chen-Lee-Lee-Liu model and Burgers hierarchy using Riemann-Hilbert-Birkhoff decomposition, derives their soliton solutions and vertex operators via a dressing method for both zero and constant non-zero vacua, and introduces gauge-Bäcklund transformations to generate additional multi-soliton solutions through interactions with integrable defects.