Complex travelling wave solutions to the KdV and Burgers equations

DOI10.1016/j.amc.2003.12.132zbMath1062.35110OpenAlexW2023888450MaRDI QIDQ1765835

Hilmi Demiray

Publication date: 23 February 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.12.132

zbMATH Keywords

shocksolitary wavehyperbolic tangent methodlocalized travelling wave

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items

Traveling-wave solutions for Korteweg-de Vries-Burgers equations through factorizations, A new sub-equation method applied to obtain exact travelling wave solutions of some complex nonlinear equations, Application of the \((\frac{G'}{G})\)-expansion method for the complex KdV equation

Cites Work

• A complex travelling wave solution to the KdV-Burgers equation
• Nonlinear waves in an inviscid fluid contained in a prestressed viscoelastic thin tube
• A non-linear equation incorporating damping and dispersion