Conditions for the existence of recursion operators are studied for arbitrary-order scalar partial differential equations with two independent variables. The coefficients of the operator are successively determined by those of the terms with higher degree. For a class of second-order equations, the operators with degree one are completely determined.
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Kings Coll London, London WC2R 2LS, EnglandKings Coll London, London WC2R 2LS, England
Lekili, Yanki
Polishchuk, Alexander
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Univ Oregon, Eugene, OR 97403 USA
Natl Res Univ Higher Sch Econ, Moscow, Russia
Korea Inst Adv Study, Daejeon, South KoreaKings Coll London, London WC2R 2LS, England
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China Univ Petr East China, Coll Sci, Qingdao 266555, Shandong, Peoples R ChinaChina Univ Petr East China, Coll Sci, Qingdao 266555, Shandong, Peoples R China
Rui, Jie
Liu, Bingchen
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China Univ Petr East China, Coll Sci, Qingdao 266555, Shandong, Peoples R ChinaChina Univ Petr East China, Coll Sci, Qingdao 266555, Shandong, Peoples R China