General propagation lattice Boltzmann model for a variable-coefficient compound KdV-Burgers equation
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Publication:1984985
DOI10.1016/j.apm.2019.04.013zbMath1481.76160OpenAlexW2940015104MaRDI QIDQ1984985
Zhong-Zhou Lan, Wen-Qiang Hu, Bo-ling Guo
Publication date: 7 April 2020
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2019.04.013
soliton solutionsnumerical simulationsgeneral propagation lattice Boltzmann modelvariable-coefficient compound KdV-Burgers equation
KdV equations (Korteweg-de Vries equations) (35Q53) Particle methods and lattice-gas methods (76M28)
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Cites Work
- Unnamed Item
- Solitons for compound KdV-Burgers equation with variable coefficients and power law nonlinearity
- A multiple-relaxation-time lattice Boltzmann model for general nonlinear anisotropic convection-diffusion equations
- Interactions of breathers and solitons in the extended Korteweg-de Vries equation
- A lattice Boltzmann model for the generalized Boussinesq equation
- Enhanced group classification of gardner equations with time-dependent coefficients
- Gas-kinetic numerical studies of three-dimensional complex flows on spacecraft re-entry
- Study on gas kinetic unified algorithm for flows from rarefied transition to continuum.
- A lattice Boltzmann equation for waves
- Differential invariants of a generalized variable-coefficient Gardner equation
- Exact solitary wave solutions for a generalized KdV-Burgers equation
- Stability analysis of lattice Boltzmann methods
- Investigation on different discrete velocity quadrature rules in gas-kinetic unified algorithm solving Boltzmann model equation
- Lattice Boltzmann model for a generalized Gardner equation with time-dependent variable coefficients
- New solitons and kink solutions for the Gardner equation
- A unified lattice Boltzmann model for some nonlinear partial differential equations
- Stabilization of thermal lattice Boltzmann models
- Painlevé property, auto-Bäcklund transformation, Lax pairs, and reduction to the standard form for the Korteweg–De Vries equation with nonuniformities
- LATTICE BOLTZMANN METHOD FOR FLUID FLOWS
- A Lattice Boltzmann Model and Simulation of KdV-Burgers Equation
- A lattice BGK scheme with general propagation
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