Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Commutation methods applied to the mKdV-equation
HTML articles powered by AMS MathViewer

by F. Gesztesy, W. Schweiger and B. Simon PDF
Trans. Amer. Math. Soc. 324 (1991), 465-525 Request permission

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
Similar Articles
Additional 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