Integrability of Riccati equations and stationary Korteweg-de vries equations

Authors

  • R. Z. Zhdanov

Abstract

By using the Lie infinitesimal method, we establish the correspondence between the integrability of a one-parameter family of Riccati equations and the hierarchy of the higher Korteweg-de Vries equations.

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Published

25.06.1999

Issue

Vol. 51 No. 6 (1999)

Section

Short communications

How to Cite

Zhdanov, R. Z. “Integrability of Riccati Equations and Stationary Korteweg-De Vries Equations”. Ukrains’kyi Matematychnyi Zhurnal, vol. 51, no. 6, June 1999, pp. 856–860, https://umj.imath.kiev.ua/index.php/umj/article/view/4674.