TITLE:
General Solutions’ Laws of Nonlinear Partial Differential Equations
AUTHORS:
Honglai Zhu
KEYWORDS:
Transformation, Nonlinear Partial Differential Equations, Analytical Solution, General Solution, Definite Solution Problems
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.13 No.1,
January
20,
2025
ABSTRACT: In previous papers, we proposed the important
Z
transformations and obtained general solutions to a large number of linear and quasi-linear partial differential equations for the first time. In this paper, we will use the
Z
1
transformation to get the general solutions of some nonlinear partial differential equations for the first time, and use the general solutions to obtain the exact solutions of some typical definite solution problems.