Exact solution of modified Veselov-Novikov equation and some applications in the game theory

DOI10.1155/2020/9740638zbMath1486.35358OpenAlexW3006234155MaRDI QIDQ1989054

Damir Kurmanbayev

Publication date: 24 April 2020

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/9740638

zbMATH Keywords

Veselov-Novikov equationMoutard transformations

Mathematics Subject Classification ID

Soliton equations (35Q51) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Cites Work

• Veselov-Novikov equation as a natural two-dimensional generalization of the Korteweg-de Vries equation
• Darboux transformation and classification of solution for mixed coupled nonlinear Schrödinger equations
• The Moutard transformation of two-dimensional Dirac operators and Möbius geometry
• Blowing up solutions of the modified Novikov-Veselov equation and minimal surfaces
• Darboux transformation for the modified Veselov-Novikov equation
• Two-dimensional Dirac operator and the theory of surfaces
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