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Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 09/2017, Volume 481, pp. 52 - 59
In this paper, a new continuum model based on full velocity difference car following model is developed with the consideration of driver’s anticipation effect.... 
Continuum model | Anticipation effect | Traffic flow | KdV–Burgers equation | CAR-FOLLOWING MODEL | DYNAMICAL MODEL | PHYSICS, MULTIDISCIPLINARY | KdV-Burgers equation | DRIVERS BOUNDED RATIONALITY | KINEMATIC WAVES | SIMULATION | NUMERICAL TESTS | LATTICE MODEL | JAMS | Traffic congestion | Numerical analysis
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 07/2015, Volume 293, pp. 81 - 95
In this paper, explicit and approximate solutions of the nonlinear fractional KdV–Burgers equation with time–space-fractional derivatives are presented and... 
Caputo's fractional derivative | Fractional KdV–Burgers equation | Power series solution | Fractional KdV-Burgers equation | Algorithms | Construction | Approximation | Mathematical analysis | Series (mathematics) | Nonlinearity | Taylor series | Mathematical models | Derivatives
Journal Article
JOURNAL OF COMPUTATIONAL PHYSICS, ISSN 0021-9991, 07/2015, Volume 293, pp. 81 - 95
In this paper, explicit and approximate solutions of the nonlinear fractional KdV-Burgers equation with time-space-fractional derivatives are presented and... 
ORDER | Power series solution | WAVES | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | Caputo's fractional derivative | HOMOTOPY PERTURBATION METHOD | PHYSICS, MATHEMATICAL | Fractional KdV-Burgers equation
Journal Article
Physica Scripta, ISSN 0031-8949, 01/2019, Volume 94, Issue 4, p. 45602
The possibility of finding chaos in a KdV like system in the absence of any external forcing is explored without reducing its order by treating it as a third... 
solitary wave | KdV-Burgers equation | chaos | WAVES | SOLITONS | PHYSICS, MULTIDISCIPLINARY | BEHAVIOR | KORTEWEG-DEVRIES
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 2006, Volume 361, Issue 2, pp. 394 - 404
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 08/2019, Volume 94, pp. 155 - 159
We consider the initial–boundary value problem for the KdV–Burgers equation posed on a bounded interval . This problem features non-homogeneous boundary... 
KdV–Burgers equation | Initial–boundary value problem | Global smooth solution | MATHEMATICS, APPLIED | KdV-Burgers equation | Initial-boundary value problem | GENERALIZED KORTEWEG | KORTEWEG-DE-VRIES | GLOBAL WELL-POSEDNESS
Journal Article
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 01/2019, Volume 66, pp. 129 - 146
Traveling wave solutions of a generalized KdV–Burgers equation are studied. The nonlinearity is specified as a piecewise linear flux function consisting of... 
Traveling wave | Generalized KdV–Burgers equation | Dispersion | Undercompressive shock | MATHEMATICS, APPLIED | PHYSICS, FLUIDS & PLASMAS | PHYSICS, MATHEMATICAL | NONSTATIONARY SOLUTIONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | SPECTRAL STABILITY | Generalized KdV-Burgers equation | HOPF EQUATION | MEDIA | CONSERVATION-LAWS | Shock
Journal Article
Journal of Geometry and Physics, ISSN 0393-0440, 08/2019, Volume 142, pp. 318 - 327
In this paper, we consider the initial–boundary value problem for the KdV–Burgers equation on right half-line . We prove the existence and uniqueness of global... 
KdV–Burgers equation | Initial–boundary value problem | Global smooth solution | MATHEMATICS | WAVES | KdV-Burgers equation | STABILITY | Initial-boundary value problem | KORTEWEG-DE-VRIES | PHYSICS, MATHEMATICAL | GLOBAL WELL-POSEDNESS | Military electronics industry
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 2009, Volume 209, Issue 2, pp. 425 - 429
Journal Article
Chaos, Solitons and Fractals, ISSN 0960-0779, 2006, Volume 30, Issue 5, pp. 1213 - 1220
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 11/2015, Volume 438, pp. 26 - 31
The new continuum model mentioned in this paper is developed based on optimal velocity car-following model, which takes the drivers’ anticipation effect into... 
KdV–Burgers equation | Continuum model | Traffic flow | KdV-Burgers equation | CAR-FOLLOWING MODEL | DYNAMICAL MODEL | OPTIMAL VELOCITY | PHYSICS, MULTIDISCIPLINARY | NUMERICAL TESTS | KINEMATIC WAVES | SIMULATION | LATTICE MODEL
Journal Article
Nonlinear Analysis, ISSN 0362-546X, 02/2020, Volume 191, p. 111646
We consider the KdV–Burgers equation and its linear version in presence of a delay feedback. We prove well-posedness of the models and exponential decay... 
Stabilization by feedback | Time delay | KdV–Burgers equation | Well-posedness | MATHEMATICS | MATHEMATICS, APPLIED | KdV-Burgers equation | STABILITY | SYSTEMS | KDV EQUATION | BOUNDARY FEEDBACK STABILIZATION | ABSTRACT EVOLUTION-EQUATIONS
Journal Article
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