EXACTLY SOLVABLE MODELS FOR THE FOKKER-PLANCK EQUATION

ZHENG WEI-MOU

doi:10.7498/aps.35.247

Abstract
By means of the Darboux transformation and an integral transformation, two classes of solvable double-well potential models are obtained for the Fokker-Planck equation. The exact results are compared with Kramers' approximation.
Authors and contacts
ZHENG WEI-MOU

1.
中国科学院理论物理研究所
References

Cited By

[1]	Chen Wei, Huang Hai, Yang Li-Xia, Bo Yong, Huang Zhi-Xiang. Scattering characteristics of non-uniform dusty plasma targets based on Fokker-Planck-Landau collision model. Acta Physica Sinica, 2023, 72(6): 060201. doi: 10.7498/aps.72.20222113
[2]	Lu Fa-Lin, Chen Chang-Yuan, You Yuan. Approximate analytical solutions of bound states for the double ring-shaped Hulthn potential. Acta Physica Sinica, 2013, 62(20): 200301. doi: 10.7498/aps.62.200301
[3]	Yang Hui-Hui, Ning Li-Juan. Approximate time-dependent solution of Fokker-Planck equation with non-linear drift force. Acta Physica Sinica, 2013, 62(18): 180501. doi: 10.7498/aps.62.180501
[4]	Mo Jia-Qi. Travelling wave solution of disturbed Vakhnenko equation for physical model. Acta Physica Sinica, 2011, 60(9): 090203. doi: 10.7498/aps.60.090203
[5]	Hu Xian-Quan, Cui Li-Peng, Luo Guang, Ma Yan. The analytic solution of the radial Schr?dinger equation for the superposed potentials. Acta Physica Sinica, 2009, 58(4): 2168-2173. doi: 10.7498/aps.58.2168
[6]	Bai Zhan-Wu, Meng Gao-Qing. The small parameter expansion solution to Fokker-Planck equation for Brownian motion in a periodic potential with internal time derivative Ornstein-Uhlenbeck noise. Acta Physica Sinica, 2008, 57(12): 7477-7481. doi: 10.7498/aps.57.7477
[7]	Zhang Min-Cang, Wang Zhen-Bang. Bound state solutions of the Dirac equation with the Makarov potentials. Acta Physica Sinica, 2006, 55(12): 6229-6233. doi: 10.7498/aps.55.6229
[8]	Liu Zhi-Fang, Zhang Shan-Yuan. A nonlinear wave equation and exact periodic solutions in circular-rod waveguide. Acta Physica Sinica, 2006, 55(2): 628-633. doi: 10.7498/aps.55.628
[9]	Zhao Chao-Ying, Tan Wei-Han. The solution of phase-mismatched Fokker-Planck equation and its application in the QPM device. Acta Physica Sinica, 2005, 54(6): 2723-2730. doi: 10.7498/aps.54.2723
[10]	Liu Shi-Kuo, Chen Hua, Fu Zun-Tao, Liu Shi-Da. LamDe＇ function and invariants of multi-order exact solutions among nonline ar evolution equations. Acta Physica Sinica, 2003, 52(8): 1842-1847. doi: 10.7498/aps.52.1842
[11]	Fu Zun-Tao, Liu Shi-Kuo, Liu Shi-Da. New multi-order exact solutions to a kind of nonlinear evolution equations. Acta Physica Sinica, 2003, 52(12): 2949-2953. doi: 10.7498/aps.52.2949
[12]	Zhao Chao-Ying, Tan Wei-Han, Guo Qi-Zhi. The solution of the Fokker-Planck equation of non-degenerate parametric amplific ation system for generation of squeezed light. Acta Physica Sinica, 2003, 52(11): 2694-2699. doi: 10.7498/aps.52.2694
[13]	ZHU XUE-GUANG, KUANG GUANG-LI, ZHAO YAN-PING, LI YOU-YI, XIE JI-KANG. FOKKER-PLANCK EQUATION IN THE APPLICATION OF FAST WAVE HEATING. Acta Physica Sinica, 1998, 47(7): 1137-1142. doi: 10.7498/aps.47.1137
[14]	LU ZHI-HENG, LIN JIAN-HENG, HU GANG. A NUMERICAL STUDY OF THE FOKKER-PLANCK EQUATION FOR STOCHASTIC RESONANCE PROBLEM. Acta Physica Sinica, 1993, 42(10): 1556-1566. doi: 10.7498/aps.42.1556
[15]	QU ZHI-LIN, HU GANG. TIME-DEPENDENT SOLUTION OF THE FOKKER-PLANCK EQUATION OF NONLINEAR NONPOTENTIAL SYSTEMS. Acta Physica Sinica, 1992, 41(9): 1396-1405. doi: 10.7498/aps.41.1396
[16]	LIN REN-MING, HUANG SI-XIAN, ZHANG LIN. THE MULTI-PHOTON QUANTUM STATISTICAL THEORY OF DRIVEN OPTICAL SYSTEMS (Ⅰ)——FOKKER-PLANCK EQUATION AND GOOD CAVITY CASE. Acta Physica Sinica, 1988, 37(4): 573-581. doi: 10.7498/aps.37.573
[17]	TAN WEI-HAN, LI YU-FANG, ZHANG WEI-PING. THE FORMAL SOLUTIONS FOR FOKKER-PLANCK EQUATION WITH ZERO OR NEGATIVE DIFFUSION COEFFICIENTS AND THEIR APPLICATIONS TO QUANTUM OPTICS. Acta Physica Sinica, 1988, 37(3): 396-407. doi: 10.7498/aps.37.396
[18]	HU GANG, WANG SHENG-GUI. TIME-DEPENDENT PROBLEM OF FOKKER-PLANCK EQUATION OF MANY VARIABLES WITH A MULTI-STABLE POTENTIAL. Acta Physica Sinica, 1986, 35(6): 771-778. doi: 10.7498/aps.35.771
[19]	HU GANG. TIME DEPENDENT SOLUTION OF FOKKER-PLANCK EQUATION WITH NON-LINEAR DRIFT FORCE. Acta Physica Sinica, 1985, 34(5): 573-580. doi: 10.7498/aps.34.573
[20]	ZHENG WEI-MOU, LIU JI-XIN. EXACTLY SOLVABLE MODELS FOR QUANTUM DOUBLE-WELL POTENTIALS. Acta Physica Sinica, 1985, 34(12): 1658-1664. doi: 10.7498/aps.34.1658

Catalog

Vol. 35, Issue 2 - 1986-01-20

Metrics

Abstract views: 9419
PDF Downloads: 469
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板

EXACTLY SOLVABLE MODELS FOR THE FOKKER-PLANCK EQUATION

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Authors

Referees

About Journal

About

Search

Article

留言板

EXACTLY SOLVABLE MODELS FOR THE FOKKER-PLANCK EQUATION

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Publishing process

Authors

Referees

About Journal

About