Analytical and graphical investigation of novel soliton solutions for the (4+1)-dimensional KdV-CBS equation in plasma physics
Rendiconti Lincei, 2026 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Publication Date: 2026
- Doi Number: 10.1007/s12210-026-01443-8
- Journal Name: Rendiconti Lincei
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, BIOSIS, zbMATH, Natural Science Collection (ProQuest), Biological Science Database (ProQuest), Earth, Atmospheric, & Aquatic Science Collection (ProQuest)
- Keywords: Adomian decomposition method, Extended modified sub-equation method, Korteweg-de vries-calogero-bogoyavlenskii-schiff equation, Soliton solution, The improved tan()-expansion method
- Bursa Uludag University Affiliated: Yes
Abstract
This paper investigates the analytical and semi-analytical wave solutions of the (4+1)-dimensional Korteweg-de Vries-Calogero-Bogoyavlenskii-Schiff equation. This examines the applicability and effectiveness of the improved tan()-expansion method, the extended modified sub-equation method, and the Adomian decomposition method for underlying nonlinear model. All symbolic and numerical computations were carried out and verified using Maple software. The obtained analytical solutions were illustrated through 3D surface plots, density plots, and 2D profiles for different time values. The results reveal kink, singular kink, and periodic wave structures, highlighting the rich dynamical characteristics and physical significance of the equation. Furthermore, the comparison between the analytical and semi-analytical solutions is discussed by evaluating the absolute error between them. To the best of our knowledge, these exact solutions have not been reported previously, emphasizing the novelty and potential contribution of the present study.