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<i>N</i>-soliton formula and blow-up result of the Wadati–Konno–Ichikawa equation

<i>N</i>-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 …