The approximate solutions of nonlinear Boussinesq equation

4th International Conference on Science & Engineering in Mathematics, Chemistry and Physics 2016

数学;化学;物理学

Lu, Dianhen^1 ; Shen, Jie^1 ; Cheng, Yueling^1

Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu

212013, China^1

关键词: Approximate solution;    Boussinesq equations;    Homotopy analysis methods;    Homotopy Perturbation Method (HPM);    Non-linear model;    Nonlinear Boussinesq equations;    Variable coefficients;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/710/1/012001/pdf
DOI  :  10.1088/1742-6596/710/1/012001

来源: IOP

【 摘 要 】

The homotopy analysis method (HAM) is introduced to solve the generalized Boussinesq equation. In this work, we establish the new analytical solution of the exponential function form. Applying the homotopy perturbation method to solve the variable coefficient Boussinesq equation. The results indicate that this method is efficient for the nonlinear models with variable coefficients.