Abstract
The multi-linear variable separation approach (MLVSA) is veryuseful to solve (2+1)-dimensional integrable systems. In thisletter, we extend this method to solve a (1+1)-dimensional coupledintegrable dispersion-less system. Namely, by using a Bäcklundtransformation and the MLVSA, we find a new general solution anddefine a new ``universal formula". Then, some new (1+1)-dimensionalcoherent structures of this universal formula can be found byselecting corresponding functions appropriately. Specially, insome conditions, bell soliton and kink soliton can transform eachother, which are illustrated graphically.
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