| 期刊全稱 | Applications of Lie Groups to Differential Equations | | 影響因子2023 | Peter J. Olver | | 視頻video | http://file.papertrans.cn/160/159482/159482.mp4 | | 學(xué)科分類 | Graduate Texts in Mathematics | | 圖書封面 |  | | 影響因子 | This book is devoted to explaining a wide range of applications of con- tinuous symmetry groups to physically important systems of differential equations. Emphasis is placed on significant applications of group-theoretic methods, organized so that the applied reader can readily learn the basic computational techniques required for genuine physical problems. The first chapter collects together (but does not prove) those aspects of Lie group theory which are of importance to differential equations. Applications covered in the body of the book include calculation of symmetry groups of differential equations, integration of ordinary differential equations, including special techniques for Euler-Lagrange equations or Hamiltonian systems, differential invariants and construction of equations with pre- scribed symmetry groups, group-invariant solutions of partial differential equations, dimensional analysis, and the connections between conservation laws and symmetry groups. Generalizations of the basic symmetry group concept, and applications to conservation laws, integrability conditions, completely integrable systems and soliton equations, and bi-Hamiltonian systems are covered in detai | | Pindex | Textbook 19861st edition |
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