Solutions of the analogues of time-dependent Schrödinger equations corresponding to a pair of $$H^{3+2}$$ Hamiltonian systems-Reference-Cited by-同舟云学术

Solutions of the analogues of time-dependent Schrödinger equations corresponding to a pair of $$H^{3+2}$$ Hamiltonian systems

Published:2022-09 Issue:3 Volume:212 Page:1181-1192
ISSN:0040-5779
Container-title:Theoretical and Mathematical Physics
language:en
Short-container-title:Theor Math Phys

Author:

Pavlenko V. A.

Publisher

Pleiades Publishing Ltd

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://link.springer.com/content/pdf/10.1134/S0040577922090021.pdf

Reference51 articles.

1. R. Garnier, “Sur des équations différentielles du troisième ordre dont l’intégrale générale est uniforme et sur une classe d’équations nouvelles d’ordre su’erieur dont l’intégrale générale a ses points critiques fixes,” Ann. Sci. École Norm. Sup., 29, 1–126 (1912).

2. B. I. Suleimanov, “The Hamiltonian structure of Painlevé equations and the method of isomonodromic deformations [in Russian],” in: Asymptotic Properties of Solutions of Differential Equations, Inst. Mat., Ufa (1988), pp. 93–102.

3. B. I. Suleimanov, “The Hamilton property of Painlevé equations and the method of isomonodromic deformations,” Differ. Equ., 30, 726–732 (1994).

4. B. I. Suleimanov, ““Quantizations” of higher Hamiltonian analogues of the Painlevé I and Painlevé II equations with two degrees of freedom,” Funct. Anal. Appl., 48, 198–207 (2014).

5. A. Bloemendal and B. Virág, “Limits of spiked random matrices I.,” Probab. Theory Related Fields, 156, 795–825 (2013).

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