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Miura transformation for the “good” Boussinesq equation

Miura transformation for the “good” Boussinesq equation

Abstract It is well known that each solution of the modified Korteveg–de Vries (mKdV) equation gives rise, via the Miura transformation, to a solution of the Korteveg–de Vries (KdV) equation. In this work, we show that a similar Miura‐type transformation exists also for the “good” Boussinesq equation. This transformation maps …