A deterministic approach to investigate nonlinear evolution equations for large balance numbers

Akbar M. A., Islam M. E., Berna Benli F., Alp Ilhan O. A.

PHYSICA SCRIPTA, cilt.98, sa.12, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 98 Sayı: 12
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1088/1402-4896/ad0bf8
  • Dergi Adı: PHYSICA SCRIPTA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Chemical Abstracts Core, Compendex, INSPEC, zbMATH
  • Anahtar Kelimeler: The modified simple equation method, exact solutions, solitons, regularized long wave equation, Jimbo-Miwa equation
  • Erciyes Üniversitesi Adresli: Evet

Özet

When the balance number is greater than one, the modified simple equation (MSE) method typically fails to yield analytical wave solutions for nonlinear evolution equations (NLEEs) that appear in engineering and mathematical physics. We have addressed this shortcoming in this article and established a technique to implement the MSE approach to investigate NLEEs for balancing number two. Two NLEEs, namely, the regularized long wave and the Jimbo-Miwa equations, have been investigated in order to affirm the approach. Through this method, we found further generic wave solutions related to physical parameters, and when the parameters receive particular values, solitons emerge from the exact solutions. Graphs are used to investigate the solitary wave features of the attained solution functions, which illustrate the usefulness, validity, and compatibility of the scheme.