References

Akgun, G. and H. Demiray, 1999. Non-linear wave modulation in a prestressed viscoelastic thin tube filled with an inviscid fluid. Int. J. non-linear Mech., 34: 571-588.
Direct Link  |  

Antar, N. and H. Demiray, 1999. Non-linear wave modulation in a prestressed fluid field thin elastic tube. Int. J. Non-linear Mech., 34: 123-138.
Direct Link  |  

Babolian, E., A. Azizi and J. Saeidian, 2009. Some notes on using the homotopy perturbation method for solving. Mathe. Comput. Modell., 50: 213-224.
CrossRef  |  

Baleanu, D., A.K. Golmankhaneh and A.K. Golmankhaneh, 2009. Solving the fractional nonlinear and linear schrodinger equation by homotopy perturbation method. Rom. J. Phys., 1: 823-832.

Biazar, J. and H. Ghazvini, 2008. Homotopy perturbation method for solving hyperbolic partial differential equations. Comput. Math. Appli., 56: 453-458.
CrossRef  |  Direct Link  |  

Bratsos, A., M. Ehrhardt and I.T. Famelis, 2008. A discrete adomian decomposition method for discrete nonlinear Schrodinger equations. Appl. Math. Comput., 197: 190-205.
Direct Link  |  

Choy, Y.Y., 2014. Nonlinear wave modulation in a fluid-filled thin elastic stenosed artery. Ph.D Thesis, Universiti Teknologi Malaysia, Johor Bahru, Malaysia.

Chun, C., H. Jafari and Y.I. Kim, 2009. Numerical method for the wave and nonlinear diffusion equations with the homotopy perturbation method. Comput. Math. Appl., 57: 1226-1231.
Direct Link  |  

Dehghan, M. and A. Taleei, 2010. A compact split-step finite difference method for solving the nonlinear Schrodinger equations with constant and variable coefficients. Comput. Phys. Commun., 181: 43-51.
Direct Link  |  

Ghasemi, M., M.T. Kajani and A. Davari, 2007. Numerical solution of two-dimensional nonlinear differential equation by homotopy perturbation method. Appl. Math. Comput., 189: 341-345.
CrossRef  |  Direct Link  |  

He, J.H., 1999. Homotopy perturbation technique. Comput. Methods Applied Mech. Eng., 178: 257-262.
CrossRef  |  Direct Link  |  

He, J.H., 2000. A coupling method of a homotopy technique and a perturbation technique for non-linear problems. Int. J. Non-Linear Mech., 351: 37-43.
Direct Link  |  

He, J.H., 2003. Homotopy perturbation method: A new nonlinear analytical technique. Applied Math. Comput., 135: 73-79.
CrossRef  |  Direct Link  |  

He, J.H., 2004. Comparison of homotopy perturbation method and homotopy analysis method. Applied Math. Comput., 156: 527-539.
Direct Link  |  

Li, J.L., 2009. Adomian`s decomposition method and homotopy perturbation method in solving nonlinear equations. Applied Math. Comput., 228: 168-173.
CrossRef  |  

Mousaa, M.M. and S.F. Ragab, 2008. Application of the homotopy perturbation method to linear and nonlinear schrodinger equations. J. Nat. Sci. A., 63: 140-144.
CrossRef  |  Direct Link  |  

Noor, M.A. and W.A. Khan, 2012. New iterative methods for solving nonlinear equation by using homotopy perturbation method. Appl. Math. Comput., 219: 3565-3574.
Direct Link  |  

Ravindran, R. and P. Prasad, 1979. A mathematical analysis of nonlinear waves in a fluid filled visco-elastic tube. Acta Mech., 31: 253-280.
CrossRef  |  Direct Link  |  

Sayed, E.S.M. and D. Kaya, 2006. A numerical solution and an exact explicit solution of the NLS equation. Appl. Math. Comput., 172: 1315-1322.
Direct Link  |  

Sweilam, N.H. and M.M. Khader, 2009. Exact solutions of some coupled nonlinear partial differential equations using the homotopy perturbation method. Comput. Math. Appl., 58: 2134-2141.
Direct Link  |  

Taha, R.T. and M.J. Ablowitz, 1984. Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrodinger equation. J. Comput. Phys., 55: 203-230.
CrossRef  |  Direct Link  |  

Wang, H., 2005. Numerical studies on the split-step finite difference method for nonlinear Schrodinger equations. Appl. Math. Comput., 170: 17-35.
Direct Link  |  

Yusufoglu, E., 2009. An improvement to homotopy perturbation method for solving system of linear equations. Comput. Math. Appl., 58: 2231-2235.
CrossRef  |  Direct Link  |