Concepedia

New Exact Solutions to the (2+1)-Dimensional Ablowitz—Kaup—Newell—Segur Equation: Modification of the Extended Homoclinic Test Approach

Mohammad Najafi, Maliheh Najafi, M.T. Darvishi

Chinese Physics Letters · 2012 · 47 citations · 35 references

DOI

Concepts

Abstract

By means of modification of the extended homoclinic test approach (mEHTA), we obtain some new exact soliton solutions for the (2+1)-dimensional Ablowitz-Kaup-Newell-Segur (AKNS) equation by obtaining a bilinear closed form for it.

References

35

Beyond Perturbation: Introduction to the Homotopy Analysis Method

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

, , +13

Variational iteration method – a kind of non-linear analytical technique: some examples

Ji‐Huan He · International Journal of Non-Linear Mechanics · 1999 · 2.5K citations

, , +13

Exp-function method for nonlinear wave equations

Ji‐Huan He, Xuhong Wu · Chaos Solitons & Fractals · 2006 · 2K citations

, , +13

On the homotopy analysis method for nonlinear problems

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

, , +13

Application of homotopy perturbation method to nonlinear wave equations

Ji‐Huan He · Chaos Solitons & Fractals · 2005 · 1.3K citations

, , +13