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Recursion operators of some equations of hydrodynamic type
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Date
2001-03-01
Author
GÜRSES, METİN
Zheltukhın, Kostyantyn
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We give a general method for constructing recursion operators for some equations of hydrodynamic type, admitting a nonstandard Lax representation. We give several examples for N=2 and N=3 containing the equations of shallow water waves and its generalizations with their first two general symmetries and their recursion operators. We also discuss a reduction of N+1 systems to N systems of some new equations of hydrodynamic type. (C) 2001 American Institute of Physics.
Subject Keywords
Hamiltonian-structure
,
Construction
,
Systems
URI
https://hdl.handle.net/11511/38328
Journal
JOURNAL OF MATHEMATICAL PHYSICS
DOI
https://doi.org/10.1063/1.1346597
Collections
Department of Mathematics, Article
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M. GÜRSES and K. Zheltukhın, “Recursion operators of some equations of hydrodynamic type,”
JOURNAL OF MATHEMATICAL PHYSICS
, pp. 1309–1325, 2001, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/38328.