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Abstract
By using Hermite transformation, the Wick-type generalized stochastic KdV equation is studied. And the new explicit exact solution is shown via the special truncation expansion method and Hermite transformation.

Keywords:
stochastic KdV equation/

stochastic soliton solution/

white noise/

truncation expansion method/

Hermite transformation
Authors and contacts
Wei Cai-Min¹,

Xia Zun-Quan¹,

Tian Nai-Shuo²
References

Cited By

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[2]	Li Xiao-Qing, Ji Xiao-Ling.Generalized M2G factor of truncated partially coherent Hermite-Gaussian beam. Acta Physica Sinica, 2011, 60(9): 094206.doi:10.7498/aps.60.094206
[3]	Yang Pei, Chen Yong, Li Zhi-Bin.Analytic approximation for the soliton solution of the discrete modified KdV equation. Acta Physica Sinica, 2010, 59(6): 3668-3673.doi:10.7498/aps.59.3668
[4]	Shi Jian-Cheng, Lang Xiu-Feng.Enhancement of internal stochastic resonance in Neurospora circadian clock system：Multiplicative and additive noises effects. Acta Physica Sinica, 2009, 58(6): 4281-4287.doi:10.7498/aps.58.4281
[5]	Liang Li-Wei, Li Xing-Dong, Li Yu-Xia.The extended F-expansion method and new exact solutions of the generalized KdV equation. Acta Physica Sinica, 2009, 58(4): 2159-2163.doi:10.7498/aps.58.2159
[6]	Mo Jia-Qi, Yao Jing-Sun.Homotopic mapping solution of soliton for perturbed KdV equation. Acta Physica Sinica, 2008, 57(12): 7419-7422.doi:10.7498/aps.57.7419
[7]	Zhang Xia-Ping, Guo Qi.Analytical solution in the Hermite-Gaussian form of the beam propagating in the strong nonlocal media. Acta Physica Sinica, 2005, 54(7): 3178-3182.doi:10.7498/aps.54.3178
[8]	Shi Yu-ren, Lü Ke-Pu, Duan Wen-Shan, Hong Xue-Ren, Zhao Jin-Bao, Yang Hong-Juan.Explicit and exact solutions of the combined KdV equation. Acta Physica Sinica, 2003, 52(2): 267-270.doi:10.7498/aps.52.267
[9]	Li De-Sheng, Zhang Hong-Qing.Improved tanh-function method and the new exact solutions for the general variab le coefficient KdV equation and MKdV equation. Acta Physica Sinica, 2003, 52(7): 1569-1573.doi:10.7498/aps.52.1569
[10]	Lü KE-PU, SHI YU-REN, DUAN WEN-SHAN, ZHAO JIN-BAO.THE SOLITARY WAVE SOLUTIONS TO KdV-BURGERS EQUATION. Acta Physica Sinica, 2001, 50(11): 2073-2076.doi:10.7498/aps.50.2073
[11]	LI ZHI-BIN, PAN SU-QI.EXACT SOLITARY WAVE AND SOLITON SOLUTIONS OF THE GENERALIZED FIFTH ORDER KdV EQUATION. Acta Physica Sinica, 2001, 50(3): 402-405.doi:10.7498/aps.50.402
[12]	ZHANG JIE-FANG, CHEN FANG-YUE.TRUNCATED EXPANSION METHOD AND NEW EXACT SOLITON-LIKE SOLUTION OF THE GENERAL VARIABLE COEFFICIENT KdV EQUATION. Acta Physica Sinica, 2001, 50(9): 1648-1650.doi:10.7498/aps.50.1648
[13]	CHEN ZHI-DE, CHEN SHI-RONG, HUANG NIAN-NING.DIRECT PERTURBATION THEORY FOR THE KdV EQUATION. Acta Physica Sinica, 1999, 48(5): 887-897.doi:10.7498/aps.48.887
[14]	LOU SEN-YUE.EXTENTED PAINLEV? EXPANSION AND NONSTANDARD TRUNCATION SOLUTIONS OF THE KdV EQUATION. Acta Physica Sinica, 1998, 47(12): 1937-1945.doi:10.7498/aps.47.1937
[15]	HAI WEN-HUA, XIAO YI.SOLITON SOLUTIONS OF PERIURBED BURGERS-KdV EQUATION. Acta Physica Sinica, 1996, 45(4): 587-594.doi:10.7498/aps.45.587
[16]	MA WEN-XIU, ZHOU DE-TANG.ON SOLITARY WARE SOLUTIONS TO A GENERALIZED KdV EQNATION. Acta Physica Sinica, 1993, 42(11): 1731-1734.doi:10.7498/aps.42.1731
[17]	ZHU ZUO-NONG.THE SOLITON SOLUTIONS OF GENERALIZED KdV EQUATION. Acta Physica Sinica, 1992, 41(7): 1057-1062.doi:10.7498/aps.41.1057
[18]	ZHU ZUO-NONG.SOLITON-LIKE SOLUTIONS OF GENERALIZED KdV EQUA-TION WITH EXTERNAL FORCE TERM. Acta Physica Sinica, 1992, 41(10): 1561-1566.doi:10.7498/aps.41.1561
[19]	CHEN DE-FANG, LOU SEN-YUE.DEFORMATION THEORY AMONG TRAVELLING WAVE SOLUTIONS OF KdV EQUATION AND HIGH ORDER KdV EQUATIONS. Acta Physica Sinica, 1991, 40(4): 513-521.doi:10.7498/aps.40.513
[20]	LOU SEN-YUE.THE SOLITON SOLUTIONS OF KdV EQUATION RUNNING TO THE LEFT AND THEIR INTERACTIONS. Acta Physica Sinica, 1991, 40(1): 8-13.doi:10.7498/aps.40.8

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Vol. 54, Issue 6 - 2005-03-20

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