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Time-dependent recursion operators and symmetries
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Date
2002-05-01
Author
Gurses, M
Karasu, Atalay
Turhan, R
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The recursion operators and symmetries of nonautonomous, (1 + 1) dimensional integrable evolution equations are considered. It has been previously observed hat he symmetries of he integrable evolution equations obtained through heir recursion operators do not satisfy the symmetry equations. There have been several attempts to resolve his problem. It is shown that in the case of time-dependent evolution equations or time-dependent recursion operators associativity is lost. Due to this fact such recursion operators need modi cation. A general formula is given for he missing term of the recursion operators. Apart from he recursion operators a method is introduced to calculate the correct symmetries. For illustrations several examples of scalar and coupled system of equations are considered.
Subject Keywords
Mathematical Physics
,
Statistical and Nonlinear Physics
URI
https://hdl.handle.net/11511/34580
Journal
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS
DOI
https://doi.org/10.2991/jnmp.2002.9.2.5
Collections
Department of Physics, Article
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M. Gurses, A. Karasu, and R. Turhan, “Time-dependent recursion operators and symmetries,”
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS
, pp. 210–228, 2002, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/34580.