Exact Solution of Modified Veselov–Novikov Equation and Some Applications in the Game Theory
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 give...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2020/9740638 |
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| _version_ | 1832553927375060992 |
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| author | Damir Kurmanbayev |
| author_facet | Damir Kurmanbayev |
| author_sort | Damir Kurmanbayev |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-1a44de4d3abd466698da0560104828c7 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-1a44de4d3abd466698da0560104828c72025-02-03T05:52:43ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252020-01-01202010.1155/2020/97406389740638Exact Solution of Modified Veselov–Novikov Equation and Some Applications in the Game TheoryDamir Kurmanbayev0Department of Fundamental Mathematics, Al-Farabi Kazakh National University, 71 Al-Farabiave., 050040 Almaty, KazakhstanA 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.http://dx.doi.org/10.1155/2020/9740638 |
| spellingShingle | Damir Kurmanbayev Exact Solution of Modified Veselov–Novikov Equation and Some Applications in the Game Theory International Journal of Mathematics and Mathematical Sciences |
| title | Exact Solution of Modified Veselov–Novikov Equation and Some Applications in the Game Theory |
| title_full | Exact Solution of Modified Veselov–Novikov Equation and Some Applications in the Game Theory |
| title_fullStr | Exact Solution of Modified Veselov–Novikov Equation and Some Applications in the Game Theory |
| title_full_unstemmed | Exact Solution of Modified Veselov–Novikov Equation and Some Applications in the Game Theory |
| title_short | Exact Solution of Modified Veselov–Novikov Equation and Some Applications in the Game Theory |
| title_sort | exact solution of modified veselov novikov equation and some applications in the game theory |
| url | http://dx.doi.org/10.1155/2020/9740638 |
| work_keys_str_mv | AT damirkurmanbayev exactsolutionofmodifiedveselovnovikovequationandsomeapplicationsinthegametheory |