Structure of New Solitary Solutions for The Schwarzian Korteweg De Vries Equation And (2+1)-Ablowitz-Kaup-Newell-Segur Equation

  • Raghda A.M. Attia
  • Dianchen Lu
  • Mostafa M. A. Khater Jiangsu University
  • Omnia M. Abd elazeem
Keywords: Schwarzian Korteweg de Vries equation, (2 1)-Ablowitz-Kaup-Newell-Segur equation, Modified Khater method, ptical traveling wave solutions, Exact, solitary and approximate solutions

Abstract

In this research, we introduce and represent the modified Khater method on two basic models in the optical fiber. These two models describe the dynamics of the wave movement in the optical fiber.  It is a new modification of new recent method which developed by Mostafa M. A. Khater in 2017. We implement this new modified technique on Schwarzian Korteweg de Vries equation and (2+1)-Ablowitz-Kaup-Newell-Segur equation. This modification of Khater method produces more closed solutions than many other methods. Schwarzian Korteweg de Vries (SKdV) equation has a closed relationship with (2+1)-Ablowitz- Kaup-Newell-Segur equation. Schwarzian Korteweg de Vries equation prescribes the location in a micro-segment of space and motion of the isolated waves in varied fields which localized in a tiny portion of space. It is a great and basic system in fluid mechanics, nonlinear optics, plasma physics, and quantum field theory.

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Published
2018-12-30
How to Cite
Attia, R., Lu, D., Khater, M., & Abd elazeem, O. (2018). Structure of New Solitary Solutions for The Schwarzian Korteweg De Vries Equation And (2+1)-Ablowitz-Kaup-Newell-Segur Equation. To Physics Journal, 1(3), 234-254. Retrieved from http://purkh.com/index.php/tophy/article/view/182
Section
Research Articles