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pro vyhledávání: '"Suleimanov, Bulat"'
Formal asymptotics are substantiated that describe typical dropping cusp singularity of quasiclassical approximations to solutions of two cases of the integrable nonlinear Schr\"odinger equation $-i\varepsilon\Psi'_{t}=\varepsilon^2\Psi''_{xx}\pm2|\P
Externí odkaz:
http://arxiv.org/abs/2311.09845
Autor:
Suleimanov, Bulat
Publikováno v:
Ufa Mathematical Journal 2012, V.4, No/2 p.127-136 ( translated from Ufimski Mathematicheskii Jhurnal, 2012, v.5, No.2, p.127-135 (in russian))
The procedure of the "quantum" linearization of the Hamiltonian ordinary differential equations with one degree of freedom is introduced. It is offered to be used for the classification of integrable equations of the Painleve type. By this procedure
Externí odkaz:
http://arxiv.org/abs/1302.6716
Autor:
Suleimanov, Bulat
Publikováno v:
Functional Analysis and Its Applications, 2014, 48: 3, 198-207
We construct a solution of an analog of the Schr\"{o}dinger equation for the Hamiltonian $ H_I (z, t, q_1, q_2, p_1, p_2) $ corresponding to the second equation $P_1^2$ in the Painleve I hierarchy. This solution is produced by an explicit change of v
Externí odkaz:
http://arxiv.org/abs/1204.4006
We construct a one-parametric family of the double-scaling limits in the hermitian matrix model $\Phi^6$ for 2D quantum gravity. The known limit of Bresin, Marinari and Parisi belongs to this family. The family is represented by the Gurevich-Pitaevsk
Externí odkaz:
http://arxiv.org/abs/hep-th/9811007