Link between travelling waves and first order nonlinear ordinary differential equation with a sixth-degree nonlinear term

DOI10.1016/j.chaos.2005.08.057zbMath1142.35570OpenAlexW1986838587WikidataQ115359414 ScholiaQ115359414MaRDI QIDQ943215

Hong-Qing Zhang, Ding-jiang Huang

Publication date: 9 September 2008

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.08.057

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Explicit solutions, first integrals of ordinary differential equations (34A05) Solutions to PDEs in closed form (35C05)

Related Items (7)

Newton-harmonic balancing approach for accurate solutions to nonlinear cubic-quintic duffing oscillators ⋮ New explicit and exact traveling wave solutions for two nonlinear evolution equations ⋮ Dynamics of cubic-quintic nonlinear \(\mathcal{PT}\)-symmetry mechanical oscillators ⋮ A new auxiliary equation method and its application to the Sharma-Tasso-Olver model ⋮ On new traveling wave solutions and conserved densities for the 2D Ricci flow model ⋮ Iterative homotopy harmonic balancing approach for conservative oscillator with strong odd-nonlinearity ⋮ Parametrically excited oscillations of second-order functional differential equations and application to Duffing equations with time delay feedback

Uses Software

• ATFM

Cites Work

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