N-soliton formula and blow-up result of the Wadati-Konno-Ichikawa equation

We formulate the N soliton solution of the Wadati-Konno-Ichikawa equation that is determined by purely algebraic equations. Derivation is based on the matrix Riemann-Hilbert problem. We give examples of one soliton solution that include smooth soliton, bursting soliton, and loop type soliton. In addition, we give an explicit example for a two soliton solution that blows up in a finite time.