Integrable cosmological potentials
نویسندگان
چکیده
منابع مشابه
The Last Integrable Case of Kozlov-treshchev Birkhoff Integrable Potentials
The integrability of this system was conjectured in [16] and in the book of V.V. Kozlov [17]. This system appears first in the classification of Birkhoff integrable systems by Kozlov and Treshchev [16]. The classification involves systems with exponential interraction with sufficient number of integrals, polynomial in the momenta. The classification gives necessary conditions for a system with ...
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is not assumed. Actually, if (3') holds, much more is known. In fact, in this case, there exist asymptotic formulas for the solutions of (1) whenX>0 ([8, p. 421]; cf. also [7, p. 258], in case/(<)—>0 as 2->oo) which guarantee, in particular, that 0^X<oo is in the continuous spectrum for every boundary value problem determined by (1) and (2). Obviously, the requirement (3) is compatible with T~i...
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We show a surprising connection between known integrable Hamiltonian systems with quartic potential and the stationary flows of some coupled KdV systems related to fourth order Lax operators. In particular, we present a connection between the Hirota-Satsuma coupled KdV system and (a generalisation of) the 1 : 6 : 1 integrable case quartic potential. A generalisation of the 1 : 6 : 8 case is sim...
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ژورنال
عنوان ژورنال: Letters in Mathematical Physics
سال: 2017
ISSN: 0377-9017,1573-0530
DOI: 10.1007/s11005-017-0962-y