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

DOI10.1155/2011/807860zbMath1228.35211OpenAlexW2130511471WikidataQ58654457 ScholiaQ58654457MaRDI QIDQ642733

Xiang Li, Wei-Guo Zhang

Publication date: 27 October 2011

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/807860

zbMATH Keywords

traveling wavesKorteweg-de Vries-Burgers equationkink

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items (5)

A generalized KdV equation of neglecting the highest-order infinitesimal term and its exact traveling wave solutions ⋮ Asymptotic methods for solitary solutions and compactons ⋮ Bounded Traveling Wave Solutions of a (2+1)-Dimensional Breaking Soliton Equation ⋮ Integral bifurcation method together with a translation-dilation transformation for solving an integrable 2-component Camassa-Holm shallow water system ⋮ Exact solutions of a high-order nonlinear wave equation of Korteweg-de Vries type under newly solvable conditions

Cites Work

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• An analytic solution of Burgers-KdV equation
• KdV-Burgers equation modelling of turbulence
• The Korteweg-de Vries-Burgers equation
• Multidimensional nonlinear diffusion arising in population genetics
• Oscillatory instability of traveling waves for a KdV-Burgers equation
• Method for Solving the Korteweg-deVries Equation
• Travelling-wave solutions to the Korteweg-de Vries-Burgers equation
• Stability and instability of solitary waves of Korteweg-de Vries type
• Existence and dynamic stability of solitary wave solutions of equations arising in long wave propagation
• Korteweg‐devries equation and generalizations. VI. methods for exact solution
• On the stability theory of solitary waves
• Eigenvalues, and instabilities of solitary waves
• Korteweg-de Vries Equation and Generalizations. IV. The Korteweg-de Vries Equation as a Hamiltonian System
• Long Waves on Liquid Films
• A non-linear equation incorporating damping and dispersion
• Shallow Water Waves on a Viscous Fluid—The Undular Bore
• Explicit exact solitary-wave solutions for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order

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