We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
A fourth-order nonlinear equation studied by using a multivariate bilinear neural network method.
- Authors
Zhang, Zhen-Hui; Liu, Jian-Guo
- Abstract
In this work, a more accurate analytical solution of nonlinear partial differential equation is sought by setting the generalized activation function in the model of multiple bilinear neural network method. As an example, the 3-2-2-1, 3-2-3-1, 3-3-2-1 and 3-3-3-1 models are selected to study the new (2+1) dimensional nonlinear wave equation equations. Exact analytical solutions with arbitrary activation functions are obtained by selecting different activation functions and the dynamical properties are demonstrated through three-dimensional, two-dimensional and density plots.
- Subjects
NONLINEAR equations; NONLINEAR wave equations; NONLINEAR differential equations; PARTIAL differential equations; ANALYTICAL solutions; BILINEAR forms; WAVE equation
- Publication
Nonlinear Dynamics, 2024, Vol 112, Issue 12, p10229
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-024-09567-y