| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1860120 | Physics Letters A | 2010 | 8 Pages |
Abstract
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.
Keywords
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Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
Roman O. Popovych, Artur Sergyeyev,