Application of Variational Homotopy Perturbation Method For Schrodinger Equation
Keywords:
Linear, Nonlinear, Boundary Conditions, VHPM, Schrodinger EquationsAbstract
In the present work, we apply the Variational Homotopy Perturbation Method to obtain the solution of linear and nonlinear Schrodinger equation. The Variational Homotopy Perturbation Method (VHPM) deforms a difficult problem into a simple problem which is easy to get the result. The method produces a solution in the form of a convergent series under conditions that are easy to calculate. Some examples are given to show that this method is easy to apply and the results are obtaining very fast.
References
- J.H. He, Homotopy perturbation technique, computer methods in applied mechanics and engineering, 178, 257-262, 1999.
- J.H. He, A review on some new recently developed nonlinear analytical techniques, International journal of nonlinear sciences and numerical simulation,1,51-70, 2000.
- J. H. He, Homotopy perturbation method: a new nonlinear analytical technique, Applied Mathematics and Computation, 135, 73-79, 2003.
- J.H. He, Homotopy perturbation method for solving boundary value problems, physics letters A 350:87-88, 2006.
- J.H. He, Recent development of the homotopy perturbation method, Topological Methods in Nonlinear Analysis, vol.31,2,205-209,2008.
- Sh. Sadigh Behzadi, Solving Schrodinger equation by using modified variational iteration and homotopy analysis methods, J. Appl. Anal. Compute, 1(4), 427-437,2011.
- R Hao, Lu Li, Zhonghao Li, W Xue, G Zhou, A new approach to exact soliton solutions and soliton interaction for nonlinear Schrodinger equation for nonlinear Schrodinger equation with variable coefficients, Opt. Commun, 236 (1-3), 79-86, 2004.
- Biao Li, Yong Chen, On exact solutions of the nonlinear Schrodinger equations in optical fiber, Chaos Solitons Fractals, 21(1), 241-247,2004.
- S.Z. Rida, H.M. El-Sherbiny, A.A.M. Arafa, on the solution of the fractional nonlinear Schrodinger equation, Physical Letters, A, 372 (5),553-558, 2008
- A M Wazwaz, Study on linear and nonlinear Schrodinger equations by the variational iteration method, Chaos Solitons Fractals, 37 (4), 1136-1142,2006.
Downloads
Published
Issue
Section
License
Copyright (c) IJSRST

This work is licensed under a Creative Commons Attribution 4.0 International License.