Bäcklund Transformations between the KdV Equation and a New Nonlinear Evolution Equation

الملخص EN

We first give a Bäcklund transformation from the KdV equation to a new nonlinear evolution equation.

We then derive two Bäcklund transformations with two pseudopotentials, one of which is from the KdV equation to the new equation and the other from the new equation to itself.

As applications, by applying our Bäcklund transformations to known solutions, we construct some novel solutions to the new equation.