Lump solutions to a (2+1)-dimensional fourth-order nonlinear PDE possessing a Hirota bilinear form
Wen‐Xiu Ma, Solomon Manukure, Hui Wang, Sumayah Batwa
Abstract
Through the Hirota bilinear formulation, a (2+1)-dimensional combined fourth-order nonlinear equation is proposed, which possesses lump solutions. Two classes of lump solutions are presented explicitly in terms of the coefficients in the combined nonlinear equation. A set of examples of equations is provided to show the diversity of the considered combined nonlinear equation, together with three-dimensional plots, [Formula: see text]-curves and [Formula: see text]-curves of two specific lump solutions in two cases of the combined equation.
Topics & Concepts
Bilinear formNonlinear systemBilinear interpolationMathematicsOrder (exchange)Mathematical analysisSet (abstract data type)Applied mathematicsPhysicsComputer scienceEconomicsProgramming languageQuantum mechanicsStatisticsFinanceNonlinear Waves and SolitonsNonlinear Photonic SystemsAlgebraic structures and combinatorial models