Nonlocal Conservation Laws of PDEs Possessing Differential Coverings
Keyword(s):
In his 1892 paper, L. Bianchi noticed, among other things, that quite simple transformations of the formulas that describe the Bäcklund transformation of the sine-Gordon equation lead to what is called a nonlocal conservation law in modern language. Using the techniques of differential coverings, we show that this observation is of a quite general nature. We describe the procedures to construct such conservation laws and present a number of illustrative examples.
1979 ◽
Vol 1
(3)
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pp. 589-594
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2011 ◽
Vol 55
(4)
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pp. 545-550
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2004 ◽
Vol 41
(6)
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pp. 805-806
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2007 ◽
Vol 48
(3)
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pp. 487-490
2011 ◽
Vol 25
(18)
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pp. 2449-2460
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