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Keywords: mKdV equation
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Journal Articles
Application of the Fourier transform Adomian decomposition method for initial value problems
Available to Purchase
Journal:
Engineering Computations
Engineering Computations (2026) 43 (4): 1594–1623.
Published: 09 January 2026
... the theoretical framework of FTADM and then applies it to six different partial differential equations, including the KdV equation, Fokker-Planck equation, Burgers equation, mKdV equation, viscous Burgers equation and Boussinesq-Burgers equation. Finally, numerical comparisons of the convergence rates...
Journal Articles
Analysis of a novel two-lane lattice model with consideration of density integral and relative flow information
Available to Purchase
Journal:
Engineering Computations
Engineering Computations (2020) 37 (8): 2939–2955.
Published: 09 April 2020
... analysis method. Design/methodology/approach The modified Korteweg de Vries (KdV) (mKdV) equation is derived to describe the characteristic of traffic jams near the critical point. Numerical simulations are carried out to explore how density difference integral and relative flow difference influence...
Journal Articles
Analysis of the predictive effect and feedback control in an extended lattice hydrodynamic model
Available to Purchase
Journal:
Engineering Computations
Engineering Computations (2020) 37 (5): 1645–1661.
Published: 10 January 2020
.../methodology/approach The control method is applied to study the stability of the new model. Through nonlinear analysis, the mKdV equation representing kink-antikink soliton is acquired. Findings The predictive effect and the control signal can enhance the traffic flow stability and reduce the energy...
