publication . Article . Preprint . 2014

Quasi-exact solutions of nonlinear differential equations

Kudryashov, Nikolay A.; Kochanov, Mark B.;
Open Access
  • Published: 26 Sep 2014 Journal: Applied Mathematics and Computation, volume 219, pages 1,793-1,804 (issn: 0096-3003, Copyright policy)
  • Publisher: Elsevier BV
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.
Subjects
arXiv: Mathematics::Analysis of PDEsNonlinear Sciences::Pattern Formation and SolitonsNonlinear Sciences::Exactly Solvable and Integrable Systems
free text keywords: Applied Mathematics, Computational Mathematics, Mathematical analysis, Nonlinear system, Integrating factor, Differential algebraic equation, Exact differential equation, Linear differential equation, Differential equation, Examples of differential equations, Stochastic partial differential equation, Mathematical optimization, Mathematics, Nonlinear Sciences - Exactly Solvable and Integrable Systems
Related Organizations
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