应用数学
應用數學
응용수학
MATHEMATICA APPLICATA
2008年
3期
463-470
,共8页
Wick型随机广义Burgers,方程%随机孤立波解%随机周期波解%Hermite变换%扩展的双曲函数法
Wick型隨機廣義Burgers,方程%隨機孤立波解%隨機週期波解%Hermite變換%擴展的雙麯函數法
Wick형수궤엄의Burgers,방정%수궤고립파해%수궤주기파해%Hermite변환%확전적쌍곡함수법
Wick-type stochastic generalized Burgers' equation%Solitary wave solution%Periodic wave solution%Hermite transform%Extended hyperbola function method
借助白噪声分析、Hermite变换和扩展的双曲函数法,研究了Wick型随机广义Burgers'方程,求出了一些精确的Wick型孤立波解和周期波解.由于Wick型函数难以赋值,为此,我们得到一些特殊情形下的Wick型随机广义Burgers'方程的非Wick型解.
藉助白譟聲分析、Hermite變換和擴展的雙麯函數法,研究瞭Wick型隨機廣義Burgers'方程,求齣瞭一些精確的Wick型孤立波解和週期波解.由于Wick型函數難以賦值,為此,我們得到一些特殊情形下的Wick型隨機廣義Burgers'方程的非Wick型解.
차조백조성분석、Hermite변환화확전적쌍곡함수법,연구료Wick형수궤엄의Burgers'방정,구출료일사정학적Wick형고립파해화주기파해.유우Wick형함수난이부치,위차,아문득도일사특수정형하적Wick형수궤엄의Burgers'방정적비Wick형해.
Wick-type stochastic generalized Burgers' equations are investigated.By using white noise analysis,Hermite transform and extended hyperbola function method,we obtain a number of Witck versions of solitary wave solutions and periodic wave solutions.We get some non-Wick versions of the solutions for Wick-type stochastic generalized Burgers' equations in special cases.
