Symmetries and conservation laws for differential equations of mathematical physics
著者
書誌事項
Symmetries and conservation laws for differential equations of mathematical physics
（Translations of mathematical monographs, v. 182）
American Mathematical Society, c1999
- タイトル別名
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Simmetrii i zakony sokhranenii︠a︡ uravneniĭ matematicheskoĭ fiziki
Симметрии и законы сохранения уравнений математической физики
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注記
Bibliography: p. 323-328
Includes index
内容説明・目次
内容説明
This book presents developments in the geometric approach to nonlinear partial differential equations (PDEs). The expositions discuss the main features of the approach, and the theory of symmetries and the conservation laws based on it. The book combines rigorous mathematics with concrete examples. Nontraditional topics, such as the theory of nonlocal symmetries and cohomological theory of conservation laws, are also included. The volume is largely self-contained and includes detailed motivations, extensive examples and exercises, and careful proofs of all results. Readers interested in learning the basics of applications of symmetry methods to differential equations of mathematical physics will find the text useful. Experts will also find it useful as it gathers many results previously only available in journals.
目次
Ordinary differential equations First-order equations The theory of classical symmetries Higher symmetries Conservation laws Nonlocal symmetries From symmetries of partial differential equations towards secondary (""quantized"") calculus Bibliography Index.
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