On the traveling wave solutions for a nonlinear diffusion-convection equation: dynamical system approach

DOI10.3934/dcdsb.2010.14.1119zbMath1364.34067OpenAlexW2036721253MaRDI QIDQ612896

Yi Zhang, Ji-Bin Li

Publication date: 16 December 2010

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2010.14.1119

zbMATH Keywords

kink wave solutionexact explicit solutionnonlinear diffusion-convection equationplanar integrable systemwavefront solution

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Explicit solutions, first integrals of ordinary differential equations (34A05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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Exact solutions in invariant manifolds of some higher-order models describing nonlinear waves ⋮ Quadratic and Cubic Nonlinear Oscillators with Damping and Their Applications ⋮ TRAVELING WAVE SOLUTIONS FOR A CLASS OF NONLINEAR DIFFUSION–CONVECTION–REACTION MODELS

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