Commutation methods applied to the mKdV-equation

Gesztesy, F.; Schweiger, W.; Simon, B.

doi:10.1090/S0002-9947-1991-1029000-7

Commutation methods applied to the mKdV-equation

Authors: F. Gesztesy, W. Schweiger and B. Simon
Journal: Trans. Amer. Math. Soc. 324 (1991), 465-525
MSC: Primary 35Q53; Secondary 34L25, 47E05, 58F07
DOI: https://doi.org/10.1090/S0002-9947-1991-1029000-7
MathSciNet review: 1029000
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Abstract: An explicit construction of solutions of the modified Korteweg-de Vries equation given a solution of the (ordinary) Korteweg-de Vries equation is provided. Our theory is based on commutation methods (i.e., supersymmetry) underlying Miura's transformation that links solutions of the two evolution equations.

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