Abstract
Exact implicit solutions with functional parameters of the (2+1)-dimensional Harry Dym (HD) equation are constructed by the delta -dressing method. The interrelation between the HD and modified Kadomtsev-Petviashvili (mKP) equations is established within the framework of the delta -dressing method. Knowledge of the mKP eigenfunctions allows the solutions of the (2+1)-dimensional HD equation to be represented in a simple parametric form.
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