Sumudu-Decomposition Method to Solve Generalized Hirota-Satsuma Coupled Kdv System

Authors

  • Shrooq Mohammed Azzo Dept. of Mathematics, Faculty of Science, University of Zakho, Zakho, Kurdistan Region, Iraq
  • Saad A. Manaa Dept. of Mathematics, Faculty of Science, University of Zakho, Zakho, Kurdistan Region, Iraq

DOI:

https://doi.org/10.25271/sjuoz.2022.10.2.879

Keywords:

Adomian Decomposition Method, Hirota-Satsuma coupled kdv systems, Sumudu Transform method

Abstract

In this work, we take Adomian Decomposition Method (ADM) and combine it  with Sumudu Transform method (STM). This connection between the two methods is called Sumudu-Decomposition Method (SDM), then use it to solve generalized  Hirota-Satsuma Coupled kdv (H-SC kdv) systems and also we applied the STM, to find the approximate solutions of system one. Then we compare the approximate solutions of the two way with exact solitary solutions. Clarifying the best way through tables and drawings, then discussing the reason for the changes taking place in the roads and which one is closest to the exact solution.

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Author Biographies

  • Shrooq Mohammed Azzo, Dept. of Mathematics, Faculty of Science, University of Zakho, Zakho, Kurdistan Region, Iraq

    Dept. of Mathematics, Faculty of Science, University of Zakho, Zakho, Kurdistan Region, Iraq -(shrooq.azoo@uoz.edu.krd)

  • Saad A. Manaa, Dept. of Mathematics, Faculty of Science, University of Zakho, Zakho, Kurdistan Region, Iraq

    Dept. of Mathematics, Faculty of Science, University of Zakho, Zakho, Kurdistan Region, Iraq - saad.manaa@uoz.edu.krd

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Published

2022-04-18

Issue

Section

Science Journal of University of Zakho

How to Cite

Azzo, S. M., & Manaa, S. A. (2022). Sumudu-Decomposition Method to Solve Generalized Hirota-Satsuma Coupled Kdv System. Science Journal of University of Zakho, 10(2), 43-47. https://doi.org/10.25271/sjuoz.2022.10.2.879

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