The Study on Ermakov Structure and related Problems in Some Important Nonlinear Wave Equations

Solutions of nonlinear wave equations are not only helpful for us to better understand the related physical phenomena, but also play an important role to promote new physical and engineering applications. Therefore, the study on solutions of nonlinear wave equations has been a hot topic in the world. In this project, we shall study Ermakov structures and related problems in some nonlinear wave equations with a multiplicative noise of advection type. The implementation of the project will provide a new tool to seek solutions of nonlinear wave equations. The results can have important theoretical meanings and practical values in the areas of nonlinear science and engineering technology.

Funding Source: Non-HK - Others^^