Some exact solutions to the generalized Korteweg-de Vries equation and the system of shallow water wave equations

Dolapci I.T.Yildirim A.2024-07-222024-07-22201313925113http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/17445In this paper, we establish exact solutions for nonlinear evolution equations in mathematical physics. The exp-transform method is proposed to seek solitary solutions, periodic solutions and compaction-like solutions of nonlinear differential equations. The generalized KdV equation and the system of the shallow water wave equation are chosen to illustrate the effectiveness and convenience of the method. © Vilnius University, 2013.EnglishAll Open Access; Green Open Access; Hybrid Gold Open AccessSome exact solutions to the generalized Korteweg-de Vries equation and the system of shallow water wave equationsArticle10.15388/na.18.1.14029