Exact solitary waves of the Korteveg - de Vries - Burgers equationPreprint English OPEN
Kudryashov, N. A.; (2004)
Subject: Nonlinear Sciences - Pattern Formation and Solitons | Nonlinear Sciences - Exactly Solvable and Integrable Systems
arxiv: Mathematics::Analysis of PDEs | Nonlinear Sciences::Pattern Formation and Solitons | Nonlinear Sciences::Exactly Solvable and Integrable Systems
New approach is presented to search exact solutions of nonlinear differential equations. This method is used to look for exact solutions of the Korteveg -- de Vries -- Burgers equation. New exact solitary waves of the Korteveg -- de Vries -- Burgers equation are found.