摘要
在Kondratiev分布空间(S)-1中通过埃尔米特变换和Painleve′分析导出了Wick-类型的随机广义Kdv方程的Backlund变换,并且把Wick-类型的随机广义Kdv方程变成广义系数Kdv-方程,再利用Backlund变换求出广义系数Kdv方程的精确解,最后通过埃尔米特逆变换求出随机广义Kdv方程在系数取不同白色噪音泛函条件下的精确解.
By using the Hermite transformation Painleve′ and analysis in Kondratiev distribution space（S-1）,a Bcklund transformation of Wick-type stochastic generalized Kdv equation was derived,and the wick-type stochastic generalized Kdv equation was converted to a kdv equation of generalized coefficient.Then the exact solutions of Kdv-MKdv equation of generalized coefficient were given.Finally the exact solutions of stochastic generalized KdV equations were given on different white noise functional conditions of the coefficient through Hermite inverse transformation.
出处
《动力学与控制学报》
2010年第2期119-122,共4页
Journal of Dynamics and Control
基金
广东省自然科学基金资助项目((8451063502000019)~~
