Combined equations of the Burgers hierarchy: multiple kink solutions and multiple singular kink solutions

Combined equations of the Burgers hierarchy are constructed using the sense of the combined Korteweg?de Vries (KdV)?modified KdV (mKdV) equation. The Cole?Hopf transformation method is used to study the resulting equations. Multiple kink solutions and multiple singular kink solutions are formally established for each combined equation. The kink solutions of any combination differ only in the dispersion relation.

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