Zheltukhin, Kostyantyn2016-07-012016-07-012002http://hdl.handle.net/11693/29250Cataloged from PDF version of article.We give a general method for constructing recursion operators for some equations of hydrodynamic type, admitting a dispersionless Lax representation. We consider a polynomial and rational Lax function. We give several examples containing the equations of shallow water waves, polytropic gas dynamics and a degenerate bi-Hamiltonian system with a recursion operator. We also discuss a reduction of N + 1 systems to N systems of some new integrable equations of hydrodynamic type.vi, 85 leaves, 30 cmEnglishinfo:eu-repo/semantics/openAccessIntegrable SystemDispersionless Lax RepresentationSimetri Adım Operat¨orleriHidrodinamik Tipli DenklemlerQA614.8 .Z44 2002Differential dynamical systems.ThesisBILKUTUPB067604