The wick-type stochastic nonlinear Schrödinger equation driven from the Brownian motion is considered. Multi-soliton and soliton molecule solutions influenced by Brownian motion function are constructed by using the Hirota method combined with the Hermite transformation. Based on stochastic solutions, the dynamical evolution of solitons produce random wave packets. These results will offer important help for the application of the stochastic physical model in the white noise environment.

中文翻译：

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非线性Schrödinger方程框架内的Wick型随机多孤子和孤子分子解

考虑了由布朗运动驱动的灯芯型随机非线性薛定ding方程。利用Hirota方法结合Hermite变换，构造了受布朗运动函数影响的多孤子和孤子分子溶液。基于随机解，孤子的动态演化产生随机波包。这些结果将为随机物理模型在白噪声环境中的应用提供重要的帮助。