The general solutions of some nonlinear second and third order PDEs with constant and nonconstant parameters

2006/09/01 by Yu. N. Kosovtsov, Kosovtsov, Yu. N.
Mathematics · Physics and Astronomy · #34A05 #34A34 #34A35 #Advanced Mathematical Physics Problems #FOS: Physical sciences #Fractional Differential Equations Solutions #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #math-ph #math.MP #msc:34A05 #msc:34A34 #msc:34A35

paper · pdf · doi:10.48550/arxiv.math-ph/0609003

15 pages

arxiv created 2006/09/01 · openalex publication_date 2006/09/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Selection of 25 examples from extensive nontrivial families for different types of nonlinear PDEs and their formal general solutions are given. The main goal here is to show on examples the types of solvable PDEs and what their general solutions look like.

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