Jacobi elliptic function-like solutions for generalized stochastic KdV equation

Lu Yuan-yuan
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Abstract

By extended mapping method and Hermite transformation, we study the generalized stochastic KdV equation, and obtain some families of stochastic exact solutions, which include Jacobi elliptic function-like, combined Jacobi elliptic function-like, soliton-like, kink-bell soliton-like and triangular function-like solutions.
广义随机KdV方程的类Jacobi椭圆函数解
利用扩展映射法和Hermite变换,研究了广义随机KdV方程,得到了类Jacobi椭圆函数解、类Jacobi椭圆函数解、类孤子解、类结铃孤子解和类三角函数解等随机精确解族。
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