Constructing lump solutions to a generalized Kadomtsev–Petviashvili–Boussinesq equation
作者： Xing Lü , Shou-Ting Chen , Wen-Xiu Ma
DOI: 10.1007/S11071-016-2905-Z
关键词: Prime number 、 Mathematical analysis 、 Quadratic function 、 Function (mathematics) 、 Constraint (information theory) 、 Bilinear interpolation 、 Mathematics
摘要: Associated with the prime number \(p=3\), a combined model of generalized bilinear Kadomtsev–Petviashvili and Boussinesq equation (gbKPB for short) in terms function f is proposed, which involves four arbitrary coefficients. To guarantee existence lump solutions, constraint among these coefficients presented firstly, then, solutions are constructed classified via searching positive quadratic to gbKPB equation. Different conditions posed on parameters investigated keep analyticity rational localization resulting solutions. Finally, 3-dimensional plots, density plots 2-dimensional curves particular choices involved given show profile characteristics potential \(u=2(\mathrm{{ln}}f)_x\).
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