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Gao, M. (2014) Quasi-Periodic Solutions for 1D Wave Equation with the Nonlinearity . Journal of Mathematical Analysis and Applications, 410, 783-806.

has been cited by the following article:

• 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.