Approximate damped oscillatory solutions for compound KdV-Burgers equation and their error estimates

DOI10.1007/s10255-012-0147-5zbMath1361.34029OpenAlexW1994468176MaRDI QIDQ511177

Xiao-yan Teng, Yan Zhao, Wei-Guo Zhang

Publication date: 14 February 2017

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-012-0147-5

zbMATH Keywords

solutionerror estimatesolitary wave solutionqualitative analysiscompound KdV-Burgers equationdamped oscillatory

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Soliton equations (35Q51) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Traveling wave solutions (35C07)

Related Items (4)

Subharmonic bifurcations and chaos for the traveling wave solutions of the compound KdV-Burgers equation with external and parametrical excitations ⋮ Mathematical view with observational/experimental consideration on certain \((2+1)\)-dimensional waves in the cosmic/laboratory dusty plasmas ⋮ Asymptotic stability of monotone decreasing kink profile solitary wave solutions for generalized KdV-Burgers equation ⋮ A difference method with intrinsic parallelism for the variable-coefficient compound KdV-Burgers equation

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