Seminar talk, 31 March 2010: Difference between revisions
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Created page with '{{Talk | speaker = Joseph Krasil'shchik | title = Conservation laws and normal forms of evolution equations | abstract = After the paper by Roman Popovych and rtur Sergyeyev by t…' |
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| speaker = Joseph Krasil'shchik | | speaker = Joseph Krasil'shchik | ||
| title = Conservation laws and normal forms of evolution equations | | title = Conservation laws and normal forms of evolution equations | ||
| abstract = After the paper by Roman Popovych and | | abstract = After the paper by Roman Popovych and Artur Sergyeyev by the same title, Phys. Lett. A (2010), {{arXiv|1003.1648}} | ||
Summary of the paper: "We study local conservation laws for evolution equations in two independent variables. In particular, we present normal forms for the equations admitting one or two low-order conservation laws. Examples include Harry Dym equation, Korteweg-de-Vries-type equations, and Schwarzian KdV equation. It is also shown that for linear evolution equations all their conservation laws are (modulo trivial conserved vectors) at most quadratic in the dependent variable and its derivatives." | Summary of the paper: "We study local conservation laws for evolution equations in two independent variables. In particular, we present normal forms for the equations admitting one or two low-order conservation laws. Examples include Harry Dym equation, Korteweg-de-Vries-type equations, and Schwarzian KdV equation. It is also shown that for linear evolution equations all their conservation laws are (modulo trivial conserved vectors) at most quadratic in the dependent variable and its derivatives." | ||
Latest revision as of 20:43, 28 March 2010
Speaker: Joseph Krasil'shchik
Title: Conservation laws and normal forms of evolution equations
Abstract:
After the paper by Roman Popovych and Artur Sergyeyev by the same title, Phys. Lett. A (2010), arXiv:1003.1648
Summary of the paper: "We study local conservation laws for evolution equations in two independent variables. In particular, we present normal forms for the equations admitting one or two low-order conservation laws. Examples include Harry Dym equation, Korteweg-de-Vries-type equations, and Schwarzian KdV equation. It is also shown that for linear evolution equations all their conservation laws are (modulo trivial conserved vectors) at most quadratic in the dependent variable and its derivatives."