Numerical study on the generation and evolution of the super-rogue waves

Journal of Ocean Engineering and Science

Wenyue Lu¹  Jianmin Yang¹ 

[1] State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai, China;

关键词: Super-rogue wave;    Nonlinear Schrödinger equation;    mNLS;    Rational solutions;   

DOI  :  10.1016/j.joes.2015.12.001

来源: DOAJ

【 摘 要 】

The super-rogue wave solutions of the nonlinear Schrödinger equation (NLS) are numerically studied based on the weakly nonlinear hydrodynamic equation. The super-rogue wave solutions up to the 5th order, also known as the so-called super-rogue waves, are observed according to the results obtained by numerically solving the modified nonlinear Schrödinger equation which is also known as the Dysthe equation that has a higher accuracy along the wave evolution in space. By using the 4th order split-step pseudo-spectral method during the integral process, more accurate results with a smaller conservation error were obtained. It is found that the super-rogue waves can be generated when considering the higher order nonlinearity. The fourth-order terms in the mNLS equation should not be ignored in numerically simulating the evolution of the super-rogue wave formation. The bound wave components also play important roles in the wave evolution. The enhancement of wave amplitude becomes larger due to the influence of bound wave components.

【 授权许可】

Unknown