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Authors

  • Safaa.S.M.abu-amr Department of Mathematics, Faculty of Science, Omar Al-Mokhtar University El-Baida, Libya
  • Taghreed H. Matar Department of Mathematics, Faculty of Science, Derna University, Alguba, Libya
  • Ruweydah Alfeetouri Tahir Department of Mathematics, Faculty of Education, Derna University, Derna, Libya

Keywords:

Variation of (G'⁄G)-expansion method, sixth-order Ramani equation, traveling wave solutions, hyperbolic function solutions

Abstract

Exact traveling wave solutions of the nonlinear sixth-order Ramani equation are obtained in this paper by means of a variant of the -expansion method. The variant pairs the usual auxiliary function with a Riccati-type function F, which turns the problem into a system of algebraic equations that is solved symbolically. Three sets of parameter values are found, and the resulting solutions are expressed through the hyperbolic function's tanh and coth. Every solution has been verified by direct substitution into the reduced ordinary differential equation.

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Published

2026-10-04

How to Cite

Safaa.S.M.abu-amr, Taghreed H. Matar, & Ruweydah Alfeetouri Tahir. (2026). 1. North African Journal of Scientific Publishing (NAJSP), 4(4), 19–22. Retrieved from https://najsp.com/index.php/home/article/view/1001

Issue

Volume 4, Issue 4, 2026

Section

Applied and Natural Sciences

License

Creative Commons License

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