Three types of periodic solutions of new (3 + 1)‐dimensional Boiti–Leon–Manna–Pempinelli equation via bilinear neural network method
Ji‐Mei Qiao, Runfa Zhang, Rong‐Xian Yue, Hadi Rezazadeh, Aly R. Seadawy
Abstract
In the paper, we search for some analytical solutions for a new (3 + 1)‐dimension Boiti–Leon–Manna–Pempinelli (BLMP) equation. Based on the Hirota bilinear method, bilinear neural network framework expands to more than one hidden layer to construct test functions. By using the symbolic computation software Maple, periodic‐type I, II, and III solutions of the new (3 + 1)‐dimension BLMP equation are obtained. Besides, the evolution and dynamical characteristics of these solutions derived via the appropriate real values are also exhibited.
Topics & Concepts
Bilinear interpolationMathematicsDimension (graph theory)MapleArtificial neural networkSymbolic computationBilinear formComputationType (biology)Applied mathematicsMathematical analysisPure mathematicsAlgebra over a fieldAlgorithmComputer scienceArtificial intelligenceBotanyEcologyBiologyStatisticsNonlinear Waves and SolitonsFractional Differential Equations SolutionsAlgebraic structures and combinatorial models