Connection between the/V-soliton solution of the modified Korteweg-de Vries equation with the solution of the KdV equation
Perel'man T.L., Fridman A.Kh., El'yashevich M.M.
The nonlinear Miura transformation, [1] which transforms the iV-soliton solution of the modified Korteweg-de Vries equation into the N-soliton solution of the Korteweg-de Vries equation, is the consequence of a unitary transformation of the operator relations connected with these equations.