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September 15, 2026
Immunity to Chaos: How Personal Resources Help Us Cope with the Challenges of a Turbulent World
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Infinite Dimensional Analysis, Quantum Probability and Related Topics

Vol. 14. Issue 2. World Scientific Publishing Co. Pte. Ltd, 2011.
Academic editor: L. Accardi, I. Todorov, S. V. Kozyrev, V. I. Bogachev, T. Kemp, O. Shalit
Editor-in-chief: B. V. Rajarama Bhat

In this paper the analogue of the Hopf–Cole transformation is introduced for manifolds. It has been shown that under certain conditions this transformation connects the Burgers equation and Kolmogorov–Petrovsky–Piskunov equation on pseudo-Riemannian manifolds.

Language: English
DOI
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Keywords: Burgers equationHopf-Cole transformation
Infinite Dimensional Analysis, Quantum Probability and Related Topics
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