On the Method of Transformations: Obtaining Solutions of Nonlinear Differential Equations by Means of the Solutions of Simpler Linear or Nonlinear Differential Equations

Transformations are much used to connect complicated nonlinear differential equations to simple equations with known exact solutions. Two examples of this are the Hopf–Cole transformation and the simple equations method. In this article, we follow an idea that is opposite to the idea of Hopf and Col...

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Bibliographic Details
Main Author: Nikolay K. Vitanov
Format: Article
Language:English
Published: MDPI AG 2023-12-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/12/12/1106