Recursion operators of some equations of hydrodynamic type
Journal of Mathematical Physics
American Institute of Physics
Gurses, M., & Zheltukhin, K. (2000). Recursion operators of some equations of hydrodynamic type. arXiv preprint nlin/0007040.
Please cite this item using this persistent URLhttp://hdl.handle.net/11693/11150
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 TV systems of some new equations of hydrodynamic type. © 2001 American Institute of Physics.