Multiple exact solutions for the dimensionally reduced p-gBKP equation via bilinear neural network method
Run-Fa Zhang, Mingchu Li, Tao Fang, Fu-Chang Zheng, Sudao Bilige
Abstract
In this paper, new trial functions are constructed via extended “3-3-2-3-1” and “3-3-2-3-2-1” network models based on the bilinear neural networks method. The new lump-type solution, interaction solution, plentiful arbitrary function solutions and periodic lump solutions of the dimensionally reduced [Formula: see text]-generalized Burgers–Kadomtsev–Petviashvili equation are solved. To analyze the dynamic properties of the solutions, appropriate parameters and different activated functions are defined in arbitrary function solutions. Through the three-dimensional and density plots, the dynamical characteristics of the solutions are shown well.
Topics & Concepts
Bilinear interpolationBilinear formArtificial neural networkType (biology)Function (biology)Applied mathematicsMathematicsExact solutions in general relativityActivation functionMathematical analysisComputer scienceBiologyMachine learningEcologyStatisticsEvolutionary biologyNonlinear Waves and SolitonsFractional Differential Equations SolutionsAlgebraic structures and combinatorial models