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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Articles in this Issue were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence. Articles are hosted by MDPI on mdpi.com as a courtesy and upon agreement with the previous journal publisher.
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Math. Comput. Appl. 2015, 20(1), 50-61; https://doi.org/10.3390/mca20010061

# Homotopic Approximate Solutions for the General Perturbed Nonlinear Schrödinger Equation

1,2,* , 2 and
1
Department of Mathematical and Physical Science, Nanjing Institute of Technology, Nanjing 211167, China
2
Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu, 212013, China
*
Authors to whom correspondence should be addressed.
Published: 1 April 2015
PDF [481 KB, uploaded 26 February 2016]

# Abstract

In this work, a class of perturbed nonlinear Schrödinger equation is studied by using the homotopy perturbation method. Firstly, we obtain some Jacobi-like elliptic function solutions of the corresponding typical general undisturbed nonlinear Schrödinger equation through the mapping deformation method, and secondly, a homotopic mapping transform is constructed, then the approximate solution with arbitrary degree of accuracy for the perturbed equation is researched, it is pointed out that the series of approximate solution is convergent. Finally, the efficiency and accuracy of the approximate solution is also discussed by using the fixed point theorem.
Keywords:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

MDPI and ACS Style

Hong, B.; Lu, D.; Liu, Y. Homotopic Approximate Solutions for the General Perturbed Nonlinear Schrödinger Equation. Math. Comput. Appl. 2015, 20, 50-61.

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