Hosseini, K.Salahshour, S.Baleanu, D.Mirzazadeh, M.Dehingia, K.2024-02-092025-09-182024-02-092025-09-182022Hosseini, K.;...et.al. "A new generalized KdV equation: Its lump-type, complexiton and soliton solutions", International Journal of Modern Physics B, Vol.36, No.31.0217-97921793-6578https://doi.org/10.1142/S0217979222502290https://hdl.handle.net/20.500.12416/10702Hosseini, Kamyar/0000-0001-7137-1456; Salahshour, Soheil/0000-0003-1390-3551A 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 Backlund 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/closedAccessComplexitonAnd Soliton SolutionsNew Generalized Kdv EquationWell-Organized MethodsBacklund TransformationBilinear FormLump-TypeArticle10.1142/S02179792225022902-s2.0-85137390040