Time-dependent defects in integrable soliton equations
2020 ◽
Vol 476
(2233)
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pp. 20190652
Keyword(s):
We study (1 + 1)-dimensional integrable soliton equations with time-dependent defects located at x = c ( t ), where c ( t ) is a function of class C 1 . We define the defect condition as a Bäcklund transformation evaluated at x = c ( t ) in space rather than over the full line. We show that such a defect condition does not spoil the integrability of the system. We also study soliton solutions that can meet the defect for the system. An interesting discovery is that the defect system admits peaked soliton solutions.
2003 ◽
Vol 17
(22n24)
◽
pp. 4376-4381
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2016 ◽
Vol 27
(1)
◽
pp. 1-14
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2015 ◽
Vol 39
(12)
◽
pp. 3221-3226
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Keyword(s):
2014 ◽
Vol 54
(4)
◽
pp. 727-743
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2014 ◽
Vol 54
(4)
◽
pp. 720-720
2001 ◽
Vol 56
(12)
◽
pp. 816-824
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