Chebyshev generalized finite spectral method for linear and nonlinear waves;

A nonlinear wave equation and exact periodic solutions in circular-rod waveguide;

A new pursuit mode of nonlinear wave surface;

Starting with properties of cubic parabola, it is demonstrated elementarily that solving elliptic equations using Jacobian elliptic functions, analytic solutions for a class of nonlinear wave equations and properties of nonlinear waves can be obtained, especially for solitary waves.

In this study, numerical analyses for solving the generalized Biot s dynamic consolidation equations by virtue of finite element method are performed on dynamic response of sandy seabed subjected to non-linear wave loading in the shallow water region.

Based on the generalized formulation of two-dimensional Biot s theory, a finite element numerical method in time domain is developed to evaluate the dynamic response of saturated elastic seabed subject to linear or non-linear wave loadings.

At present, the calculations of wave forces on marine structures are confined to the linear and low-order non-linear wave theories, sometimes these are not satisfied with the requirements.

The linear and the non-linear filtering algorithms is used to suppress narrowband interferences.

In this paper, we propose a non-linear filtering algorithm, which denoises image through containing the big module coefficients in the frequency domain.

Then using the multiscale edge representation based on the wavelet transform,we propose a non-linear filtering method for images in the scale space.

The nonlinear waves of inviscid fluids in an elastic tube are studied.

In this paper,the higher-order asymptotic solution to the Cauchy problem of a nonlinear wave equation is found by using a computer algebra-perturbation method.

Study on nonlinear filtering method for land vehicle DR navigation;

Algorithm of edge detection based on nonlinear filtering

The propagation of the covariance matrix in those most commonly used nonlinear filtering algorithms,such as the extended Kalman filter and the unscented Kalman filter,leads to the lose of its positive definiteness in the update process and makes the filters invalid.