 Modified quintic trigonometric B-spline differential quadrature method for the improved Boussinesq equationJiawen Deng, Shahid Hussain and Kaysar Rahman Chaos, Solitons & Fractals, 2025, vol. 201, issue P2 Abstract: This study proposed a modified quintic trigonometric B-spline function applied within a differential quadrature method to solve the Improved Boussinesq equation, a key model for shallow water waves and nonlinear wave phenomena. Stability is analyzed through eigenvalue plots. The proposed technique successfully simulates both single and double solitary wave solutions, with results validated against established numerical methods and exact solutions, confirming its effectiveness. Additionally, the study explores physical phenomena such as Solitary wave splitting motion, interactions of double solitary waves, and mutual motion of multiple solitary waves. The findings highlight the method’s effectiveness in capturing the complex behaviors of solitary waves, serving as a valuable tool for research in nonlinear wave dynamics. Keywords: Improved Boussinesq equation; Modified quintic trigonometric B-spline; Differential quadrature method; Four-stage and three order Runge–Kutta method (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:201:y:2025:i:p2:s0960077925012718 DOI: 10.1016/j.chaos.2025.117258 Access Statistics for this article Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros More articles in Chaos, Solitons & Fractals from Elsevier |
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