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Exact Solution of Modified Veselov–Novikov Equation and Some Applications in the Game Theory

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  • Damir Kurmanbayev

Abstract

A method of finding exact solutions of the modified Veselov–Novikov (mVN) equation is constructed by Moutard transformations, and a geometric interpretation of these transformations is obtained. An exact solution of the mVN equation is found on the example of a higher order Enneper surface, and given transformations are applied in the game theory via Kazakh proverbs in terms of trees.

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  • Damir Kurmanbayev, 2020. "Exact Solution of Modified Veselov–Novikov Equation and Some Applications in the Game Theory," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2020, pages 1-7, February.
    • Handle: RePEc:hin:jijmms:9740638
    DOI: 10.1155/2020/9740638
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