Fractal Solitons, Arbitrary Function Solutions, Exact Periodic Wave and Breathers for a Nonlinear Partial Differential Equation by Using Bilinear Neural Network Method

• Published in: Journal of systems science and complexity Vol. 34; no. 1; pp. 122 - 139
• Main Authors: Zhang, Runfa, Bilige, Sudao, Chaolu, Temuer
• Format: Journal Article
• Language: English
• Published: Beijing Academy of Mathematics and Systems Science, Chinese Academy of Sciences 01.02.2021; Springer Nature B.V
• Subjects: Breathers; Complex Systems; Control; Exact solutions; Fractals; Mathematics; Mathematics and Statistics; Mathematics of Computing; Neural networks; Nonlinear differential equations; Operations Research/Decision Theory; Partial differential equations; Self-similarity; Solitary waves; Statistics; Systems Theory; Three dimensional models; Arbitrary function solutions; breather; Lump solitons waves; solitons; bilinear neural network method

This paper extends a method, called bilinear neural network method (BNNM), to solve exact solutions to nonlinear partial differential equation. New, test functions are constructed by using this method. These test functions are composed of specific activation functions of single-layer model, specific...