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E-ISSN: 2788-9327

P-ISSN: 1606-8947

Vol. 28 No. 2 (2024)

Extended Hyperbolic Function Method to Solve Two New Nonlinear Partial Differential Equations

  • M. S. Al-Amry Department of Mathematics, Faculty of Education, Aden, University of Aden – Yemen
  • H. S. Bafarag Department of Mathematics, Faculty of Education, Zingibar, University of Abyan – Yemen

University of Aden Journal of Natural and Applied Sciences, Vol. 28 No. 2 (2024), 18-04-2025 Page 97-105

DOI:

https://doi.org/10.47372/uajnas.2024.n2.a09

Abstract

In this paper, we present two new equations, firstly a combined of Korteweg-de Vries-Benjamin-Bona-Mahony (KdV-BBM) equation with modified Korteweg-de Vries-Benjamin-Bona-Mahony m(KdV-BBM) and denoted by c((KdV-BBM)-m(KdV-BBM)), secondly a combined of Shallow Water Wave-Ablowitz-Kaup-Newell-Segur (SWW-AKNS) equation with Equal-Width (EW) equation and denoted by c((SWW-AKNS)-EW). Then we apply the extended hyperbolic function method (EHFM) to solve the new equations. Exact traveling wave solutions are obtained and expresses in terms of hyperbolic functions and trigonometric functions.

Keywords:
    Extended hyperbolic function method (EHFM), exact solutions, c((KdV-BBM)-m(KdV-BBM)) equation, c((SWW-AKNS)-EW) equation

How to Cite

M. S. Al-Amry, & H. S. Bafarag. (2025). Extended Hyperbolic Function Method to Solve Two New Nonlinear Partial Differential Equations. University of Aden Journal of Natural and Applied Sciences, 28(2), 97–105. https://doi.org/10.47372/uajnas.2024.n2.a09
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