| 随机广义KdV方程的随机精确解 |
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| 引用本文： | 包永梅,高娃.随机广义KdV方程的随机精确解[J].数学的实践与认识,2017(15):258-265. |
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| 作者姓名： | 包永梅 高娃 |
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| 作者单位： | 内蒙古财经大学 统计与数学学院,内蒙古 呼和浩特,010051 |
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| 基金项目： | 内蒙古自然科学基金(2015MS0113) |
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| 摘 要： | 通过一个辅助性方程和埃米尔特变换研究广义随机KdV方程的随机雅克比椭圆函数类波解.此外,还通过椭圆函数在模数取极限m→0和m→1的情况,给出方程的随机类孤子解和随机三角函数波解,所得结果丰富了广义随机KdV方程的精确解.
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| 关 键 词： | 随机广义KdV方程 随机精确解 白色噪音 埃米尔特变换 |
Stochastic Exact Solutions to the Stochastic Generalized KdV Equation |
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| BAO Yong-mei,GAO Wa.Stochastic Exact Solutions to the Stochastic Generalized KdV Equation[J].Mathematics in Practice and Theory,2017(15):258-265. |
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| Authors: | BAO Yong-mei GAO Wa |
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| Abstract: | In the paper,we study the exact solutions of generalized stochastic KdV equation via use of an auxiliary equation and Hermite transformation,in addition,when m → 0 and m → 1,the stochastic Jacobi elliptic function wave-like solutions,the stochastic soliton-like solutions and the stochastic triangle function wave solutions of the equations are obtained,where the new solutions are also constructed. |
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| Keywords: | stochastic generalized KdV equation stochastic exact solutions white noise Hermite transformation |
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