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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Citation Formats

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.