A differential-geometric criterion of the kinematic integrability of nonlinear differential equations
| Autor: | D. V. Tikhomirov, S. A. Zadadaev |
|---|---|
| Rok vydání: | 2007 |
| Předmět: |
Statistics and Probability
Examples of differential equations Stochastic partial differential equation Nonlinear system Geometric analysis Differential equation Applied Mathematics General Mathematics Mathematical analysis Circle criterion Differential algebraic equation Mathematics Numerical partial differential equations |
| Zdroj: | Journal of Mathematical Sciences. 141:1075-1080 |
| ISSN: | 1573-8795 1072-3374 |
| Popis: | A theorem on the existence of a G-representation and a differential-geometric criterion of the kinematic integrability for nonlinear differential equations from the Λ2-G-classes is proved. Examples of zero-curvature representations and metrics for some equations of mathematical physics are presented. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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