Popovych R. Conservation laws of even-order evolution equation, talk at The Workshop on Integrable Nonlinear Equations, 18-24 October 2015, Mikulov, Czech Republic (abstract): Difference between revisions
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| title = Conservation laws of even-order evolution equation | | title = Conservation laws of even-order evolution equation | ||
| abstract = We solve the inverse problem on conservation laws of (1+1)-dimensional evolution equations. This allows us to exhaustively describe conservation laws of even-order evolution equations. In particular, we prove that if the dimension of the space of conservation laws of an even-order evolution equation is greater than its order, then this equation is linearizable by a contact transformation. As an illustrating example, we completely classify conservation laws of fourth-order evolution equations up to contact equivalence. Some related results are also discussed. A joint work with A.Sergyeyev. | | abstract = We solve the inverse problem on conservation laws of (1+1)-dimensional evolution equations. This allows us to exhaustively describe conservation laws of even-order evolution equations. In particular, we prove that if the dimension of the space of conservation laws of an even-order evolution equation is greater than its order, then this equation is linearizable by a contact transformation. As an illustrating example, we completely classify conservation laws of fourth-order evolution equations up to contact equivalence. Some related results are also discussed. A joint work with A.Sergyeyev. | ||
| slides = [[Media:Popovych R. Conservation laws of even-order evolution equation (presentation at The Workshop on | | slides = [[Media:Popovych R. Conservation laws of even-order evolution equation (presentation at The Workshop on Integrable Nonlinear Equations, 18-24 October 2015, Mikulov, Czech Republic).pdf|Media:Popovych R. Conservation laws of even-order evolution equation (presentation at The Workshop on Integrable Nonlinear Equations, 18-24 October 2015, Mikulov, Czech Republic).pdf]] | ||
| references = | | references = | ||
| 79YY-MM-DD = 7984-89-81 | | 79YY-MM-DD = 7984-89-81 | ||
}} | }} | ||
Latest revision as of 17:28, 3 November 2015
Speaker: Roman Popovych
Title: Conservation laws of even-order evolution equation
Abstract:
We solve the inverse problem on conservation laws of (1+1)-dimensional evolution equations. This allows us to exhaustively describe conservation laws of even-order evolution equations. In particular, we prove that if the dimension of the space of conservation laws of an even-order evolution equation is greater than its order, then this equation is linearizable by a contact transformation. As an illustrating example, we completely classify conservation laws of fourth-order evolution equations up to contact equivalence. Some related results are also discussed. A joint work with A.Sergyeyev.