Hosseini, K.Salahshour, S.Baleanu, D.Mirzazadeh, M.Dehingia, K.2024-02-092024-02-092022Hosseini, K.;...et.al. "A new generalized KdV equation: Its lump-type, complexiton and soliton solutions", International Journal of Modern Physics B, Vol.36, No.31.2179792http://hdl.handle.net/20.500.12416/7153A new generalized KdV equation, describing the motions of long waves in shallow water under the gravity field, is considered in this paper. By adopting a series of well-organized methods, the Bäcklund transformation, the bilinear form and diverse wave structures of the governing model are formally extracted. The exact solutions listed in this paper are categorized as lump-type, complexiton, and soliton solutions. To exhibit the physical mechanism of the obtained solutions, several graphical illustrations are given for particular choices of the involved parameters. As a direct consequence, diverse wave structures given in this paper enrich the studies on the KdV-type equations.eninfo:eu-repo/semantics/closedAccessAnd Soliton SolutionsBilinear FormBäcklund TransformationComplexitonLump-TypeNew Generalized Kdv EquationWell-Organized MethodsArticle363110.1142/S0217979222502290