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

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发表日期：

2024年7月27日

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A. O. Smirnov,
I. V. Anisimov

摘要

Abstract

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.