太田 泰広
	神戸大学大学院理学研究科
	数学専攻 応用数理講座 准教授
	計算数理教育研究分野
	E-mail: Tel: 078-803-6468

研究テーマ

非線形可積分系、特にソリトン方程式系の解空間の代数構造の研究、 及びそれらの物理学・工学に対する応用の研究

研究業績

1. K. Maruno and Y. Ohta, Casorati Determinant Form of Dark Soliton Solutions of the Discrete Nonlinear Schr\"odinger Equation, J. Phys. Soc. Jpn. {\bf 75}, No. 5 (2006) 054002-1--054002-10.

2. Y. Ohta, Discretization of a Sine-Gordon Type Equation, NATO Science Series II: Mathematics, Physics and Chemistry, {\bf 201}, Eds. L. D. Faddeev, P. van Moerbeke and F. Lambert, (Springer, Dordrecht, 2006) 225--230.

3. K. M. Tamizhmani, B. Grammaticos, A. Ramani, Y. Ohta and T. Tamizhmani, Similarity Reductions of Hirota Bilinear Equations and Painlev\'e Equations, NATO Science Series II: Mathematics, Physics and Chemistry, {\bf 201}, Eds. L. D. Faddeev, P. van Moerbeke and F. Lambert, (Springer, Dordrecht, 2006) 313--323.

4. A. Ramani, Y. Ohta and B. Grammaticos, Discrete Systems Related to the Sixth Painlev\'e Equation, J. Phys. A: Math. Gen. {\bf 39}, No. 39 (2006) 12167--12178.

5. C.-X. Li and Y. Ohta, Gram-type Pfaffian solution to the coupled discrete KP equation, J. Phys. A {\bf 38} No. 5 (2005) 1089--1095.

6. K. Kajiwara, T. Masuda, M. Noumi, Y. Ohta and Y. Yamada, Construction of Hypergeometric Solutions to the $q$-Painlev\'e Equations, Int. Math. Res. Not. No. 24 (2005) 1439--1463.

7. K. Kajiwara, T. Masuda, M. Noumi, Y. Ohta and Y. Yamada, Cubic Pencils and Painlev\'e Hamiltonians, Funkcial. Ekvac. {\bf 48} No. 1 (2005) 147--160.

8. M. Nishizawa, Y. Ohta and S. Tsujimoto, Some Aspects of the Toda Molecule, Glasgow Math. J. {\bf 47A} (2005) 169--176.

9. K. Kajiwara, T. Masuda, M. Noumi, Y. Ohta and Y. Yamada, Hypergeometric Solutions to the $q$-Painlev\'e Equations, Int. Math. Res. Not. No. 47 (2004) 2497--2521.

10. Y. Ohta, Special Solutions of Discrete Integrable Systems, {\it Discrete Integrable Systems}, Lecture Notes in Phys. {\bf 644} (Springer, Berlin, 2004) 57--83.

11. Y. Ohta, Discretization of Toroidal Soliton Equations, J. Nonlinear Math. Phys. {\bf 10} Suppl. 2 (2003) 143--148.

12. C. Gilson, J. Hietarinta, J. Nimmo and Y. Ohta, Sasa-Satsuma Higher-Order Nonlinear Schr\"odinger Equation and Its Bilinearization and Multisoliton Solutions, Phys. Rev. E {\bf 68} No.1 (2003) 016614.

13. K. Kajiwara, T. Masuda, M. Noumi, Y. Ohta and Y. Yamada, ${}_{10}E_9$ Solution to the Elliptic Painlev\'e Equation, J. Phys. A {\bf 36} No. 17 (2003) L263--L272.

14. K. Maruno, Y. Ohta and N. Joshi, Exact Localized Solutions of Quintic Discrete Nonlinear Schr\"odinger Equation, Phys. Lett. A {\bf 311} No. 2-3 (2003) 214--220.

15. B. Grammaticos, A. Ramani and Y. Ohta, A Unified Description of the Asymmetric $q$-P$_{\rm V}$ and $d$-P$_{\rm IV}$ Equations and Their Schlesinger Transformations, J. Nonlinear Math. Phys. {\bf 10}, No. 2 (2003) 215--228.

16. T. Takenawa, M. Eguchi, B. Grammaticos, Y. Ohta, A. Ramani and J. Satsuma, The Space of Initial Conditions for Linearizable Mappings, Nonlinearity {\bf 16}, No. 2 (2003) 457--477.

17. T. Masuda, Y. Ohta and K. Kajiwara, A Determinant Formula for a Class of Rational Solutions of Painlev\'e V Equation, Nagoya Math. J. {\bf 168} (2002) 1--25.

18. Y. Ohta, A. Ramani and B. Grammaticos, Elliptic Discrete Painlev\'e Equations, J. Phys. A {\bf 35}, No. 45 (2002) L653--L659.

19. K. Kimura, H. Yahagi, R. Hirota, A. Ramani, B. Grammaticos and Y. Ohta, A New Class of Integrable Discrete Systems, J. Phys. A {\bf 35}, No. 43 (2002) 9205--9212.

20. A. Ramani, A. S. Carstea, B. Grammaticos and Y. Ohta, On the Autonomous Limit of Discrete Painlev\'e Equations, Phys. A {\bf 305}, No. 3-4 (2002) 437--444.