publication . Preprint . Article . 2012

Quasi-exact solutions of nonlinear differential equations

Nikolay A. Kudryashov; Mark B. Kochanov;
Open Access English
  • Published: 29 Aug 2012
Abstract
Abstract The concept of quasi-exact solutions of nonlinear differential equations is introduced. Quasi-exact solution expands the idea of exact solution for additional values of parameters of differential equation. These solutions are approximate ones of nonlinear differential equations but they are close to exact solutions. Quasi-exact solutions of the the Kuramoto–Sivashinsky, the Korteweg-de Vries–Burgers and the Kawahara equations are founded.
Persistent Identifiers
Subjects
arXiv: Mathematics::Analysis of PDEsNonlinear Sciences::Pattern Formation and SolitonsNonlinear Sciences::Exactly Solvable and Integrable Systems
free text keywords: Nonlinear Sciences - Exactly Solvable and Integrable Systems, Mathematical analysis, Examples of differential equations, Differential equation, Differential algebraic equation, Nonlinear system, Integrating factor, Stochastic partial differential equation, Mathematics, Linear differential equation, Exact differential equation
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