Abstract
The so-called Belov-Chaltikian lattice is considered. By the dependent variable transformation, the Belov-Chaltikian lattice is transformed into a trilinear form. By introducing an auxiliary variable, we further transform it into the bilinear form. A corresponding Backlund transformation for it is obtained. Furthermore, a nonlinear superposition formula is proved rigorously. As an application of the obtained results, soliton solutions are derived.
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