Commutation Methods Applied to the mKdV-Equation
Open Access
- 1 April 1991
- journal article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 324 (2) , 465-525
- https://doi.org/10.2307/2001730
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.Keywords
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