Accurate approximate analytical solutions for multi-degree-of-freedom coupled van der Pol-Duffing oscillators by homotopy analysis method

Nonlinear Oscillations

Ali H. Nayfeh, Dean T. Mook, Phillip Holmes · Journal of Applied Mechanics · 1980 · 4.7K citations

Natural Sciences, Physics, Differential Equations +8

Beyond Perturbation: Introduction to the Homotopy Analysis Method

S. A. Sherif · Applied Mechanics Reviews · 2004 · 2.7K citations · Full text

Natural Sciences, Aerospace Engineering, Mathematics +13

On the homotopy analysis method for nonlinear problems

Shijun Liao · Applied Mathematics and Computation · 2003 · 1.8K citations

Natural Sciences, Mathematics, Physics +13

An optimal homotopy-analysis approach for strongly nonlinear differential equations

Shijun Liao · Communications in Nonlinear Science and Numerical Simulation · 2009 · 998 citations

Natural Sciences, Mathematics, Physics +10

Notes on the homotopy analysis method: Some definitions and theorems

Shijun Liao · Communications in Nonlinear Science and Numerical Simulation · 2008 · 868 citations

Natural Sciences, Mechanical Engineering, Physics +12