APPROXIMATE ADOMIAN SOLUTIONS TO THE BRIGHT OPTICAL SOLITARY WAVES OF THE CHEN-LEE-LIU EQUATION

Authors

  • A. S. H. F. Mohammed Department of Mathematics, Faculty of Science- University of Jeddah, Jeddah, Saudi Arabia
  • H. O. Bakodah Department of Mathematics, Faculty of Science- University of Jeddah, Jeddah, Saudi Arabia
  • M. A. Banaja Department of Mathematics, Faculty of Science- University of Jeddah, Jeddah, Saudi Arabia

DOI:

https://doi.org/10.20319/mijst.2019.53.110120

Keywords:

Optical Solitary Waves, Adomian Decomposition Method, Numerical Method, Chen-Lee-Liu Equation

Abstract

The present paper examines the Chen–Lee–Liu (CLL) equation numerically. The equation is an important type of the Derivative Nonlinear Schrodinger (DNLS) equations that describe the propagation of pulse in optical fibers. The optical solitary wave solutions of the CLL equation comprises of the recently obtained bright solitons via ansatz method. However, in this paper, we employ the promising Adomian Decomposition Method (ADM) to further demonstrate its efficiency in solving different types of Schrodinger equations. The method reveals amazing approximate solutions with minimal error as shown in the respective comparison tables and various plots depicted.

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Published

2019-12-18

How to Cite

Mohammed, A. S. H. F., Bakodah, H. O., & Banaja, M. A. (2019). APPROXIMATE ADOMIAN SOLUTIONS TO THE BRIGHT OPTICAL SOLITARY WAVES OF THE CHEN-LEE-LIU EQUATION . MATTER: International Journal of Science and Technology, 5(3), 110–120. https://doi.org/10.20319/mijst.2019.53.110120