Commutation methods applied to the mKdV-equation
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- by F. Gesztesy, W. Schweiger and B. Simon
- Trans. Amer. Math. Soc. 324 (1991), 465-525
- DOI: https://doi.org/10.1090/S0002-9947-1991-1029000-7
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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., $N = 1$ supersymmetry) underlying Miura’s transformation that links solutions of the two evolution equations.References
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Bibliographic Information
- © Copyright 1991 American Mathematical Society
- 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