On a Class of Integrable Systems with a Cubic First Integral
نویسندگان
چکیده
منابع مشابه
On a class of integrable systems with a cubic first integral
A few years ago Selivanova gave an existence proof for some integrable models, in fact geodesic flows on two dimensional manifolds, with a cubic first integral. However the explicit form of these models hinged on the solution of a nonlinear third order ordinary differential equation which could not be obtained. We show that an appropriate choice of coordinates allows for integration and gives t...
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15 صفحه اولA New Class of Integrable Newton Systems
A new class of integrable Newton systems in Rn is presented. They are characterized by the existence of two quadratic integrals of motion of so-called cofactor type, and are therefore called cofactor pair systems. This class includes as special cases conservative systems separable in elliptic or parabolic coordinates, as well as many Newton systems previously derived as reductions of soliton hi...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2010
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-010-1107-7