Finite-gap solutions of the real modified Korteweg–de Vries equation

A. O. Smirnov ; I. V. Anisimov

Teoretičeskaâ i matematičeskaâ fizika, Tome 220 (2024) no. 1, pp. 191-209

Résumé

We consider methods for constructing finite-gap solutions of the real classical modified Korteweg–de Vries equation and elliptic finite-gap potentials of the Dirac operator. The Miura transformation is used in both methods to relate solutions of the Korteweg–de Vries and modified Korteweg–de Vries equations. We present examples.

Détail

Keywords: KdV equation, mKdV equation, spectral curve, finite-gap solution.
Mots-clés : Miura transformation

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