A stochastic nonlinear differential propagation model for underwater acoustic 
propagation: Theory and solution

Haiyang, Yao; Haiyan, Wang; Zhichen, Zhang; Yong, Xu; Kurths, Jürgen

doi:10.1016/j.chaos.2021.111105

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A stochastic nonlinear differential propagation model for underwater acoustic propagation: Theory and solution

Authors

Haiyang, Yao
External Organizations;

Haiyan, Wang
External Organizations;

Zhichen, Zhang
External Organizations;

Yong, Xu
External Organizations;

/persons/resource/Juergen.Kurths

Kurths, Jürgen
Potsdam Institute for Climate Impact Research;

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引用

Haiyang, Y., Haiyan, W., Zhichen, Z., Yong, X., & Kurths, J. (2021). A stochastic nonlinear differential propagation model for underwater acoustic propagation: Theory and solution. Chaos, Solitons and Fractals, 150:. doi:10.1016/j.chaos.2021.111105.

引用: https://publications.pik-potsdam.de/pubman/item/item_26321

要旨

The principle of underwater acoustic signal propagation is of vital importance to realize the “digital ocean”. However, underwater circumstances are becoming more complex and multi-factorial because of raising human activities, changing climate, to name a few. For this study, we formulate a mathematical model to describe the complex variation of underwater propagating acoustic signals, and the solving method are presented. Firstly, the perturb-coefficient nonlinear propagation equation is derived based on hydrodynamics and the adiabatic relation between pressure and density. Secondly, physical elements are divided into two types, intrinsic and extrinsic. The expression of the two types are combined with the perturb-coefficient nonlinear propagation equation by location and stochastic parameters to obtain the stochastic nonlinear differential propagation model. Thirdly, initial and boundary conditions are analyzed. The existence theorem for solutions is proved. Finally, the operator splitting procedure is proposed to obtain the solution of the model. Two simulations demonstrate that this model is effective and can be used in multiple circumstances.