On a KdV equation with higher-order nonlinearity: Traveling wave solutions

DOI10.1016/j.cam.2011.05.028zbMath1219.35230OpenAlexW1965924524MaRDI QIDQ633991

Cesar Augusto Gomez Sierra

Publication date: 2 August 2011

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

Full work available at URL: https://doi.org/10.1016/j.cam.2011.05.028

zbMATH Keywords

KdV equationMKdV equationsoliton solutiontraveling wave solutionimproved tanh-coth method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (2)

Closed form solutions for a generalized Benjamin-Bona-Mahony-Burgers equation with higher-order nonlinearity ⋮ Lie symmetry analysis of (2+1)-dimensional KdV equations with variable coefficients

Cites Work

• Unnamed Item
• The extended tanh method for new solitons solutions for many forms of the fifth-order KdV equations
• The application of the auxiliary equation technique to a generalized mKdV equation with variable coefficients
• Special symmetries to standard Riccati equations and applications
• The application of bifurcation method to a higher-order KdV equation
• The Cole-Hopf transformation and improved tanh-coth method applied to new integrable system (KdV6)
• Auto-Bäcklund transformation, Lax pairs, and Painlevé property of a variable coefficient Korteweg–de Vries equation. I
• Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation

This page was built for publication: On a KdV equation with higher-order nonlinearity: Traveling wave solutions