Exact solutions to the nonlinear equation in traffic congestion
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Publication:2057410
DOI10.1186/S13662-020-2538-XzbMath1482.76011OpenAlexW3029496221MaRDI QIDQ2057410
Publication date: 6 December 2021
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-020-2538-x
KdV equations (Korteweg-de Vries equations) (35Q53) Traveling wave solutions (35C07) Traffic and pedestrian flow models (76A30)
Cites Work
- Unnamed Item
- A transformed rational function method and exact solutions to the \(3+1\) dimensional Jimbo-Miwa equation
- Applications of complete discrimination system for polynomial for classifications of traveling wave solutions to nonlinear differential equations
- Empirical test of a microscopic three-phase traffic theory
- Periodic and solitary wave solutions of Kawahara and modified Kawahara equations by using Sine-Cosine method
- Exact solutions for the generalized BBM equation with variable coefficients
- Solutions of the fractional combined KdV-mKdV equation with collocation method using radial basis function and their geometrical obstructions
- Nonlinear analysis of the optimal velocity difference model with reaction-time delay
- Optimal velocity difference model for a car-following theory
- Travelling wave solutions of the perturbed mKdV equation that represent traffic congestion
- A new definition of fractional derivative
- A finite difference scheme on graded meshes for time-fractional nonlinear Korteweg-de Vries equation
- Study on the effects of driver's lane-changing aggressiveness on traffic stability from an extended two-lane lattice model
- Interaction solutions to Hirota-Satsuma-Ito equation in (2 + 1)-dimensions
- Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation
- Classification of All Single Travelling Wave Solutions to Calogero–Degasperis–Focas Equation
- Traffic jams: dynamics and control
- Invariances and Conservation Laws of the Korteweg‐de Vries Equation
- Representations and Classification of Traveling Wave Solutions to sinh-Gördon Equation
- Solution of ODEu″ + p(u)(u′)2+q(u) = 0 and Applications to Classifications of All Single Travelling Wave Solutions to Some Nonlinear Mathematical Physics Equations
- An Improved F-Expansion Method and Its Application to Coupled Drinfel'd–Sokolov–Wilson Equation
- Exact Solution of Space-Time Fractional Coupled EW and Coupled MEW Equations Using Modified Kudryashov Method
- A SEARCH FOR LUMP SOLUTIONS TO A COMBINED FOURTH-ORDER NONLINEAR PDE IN (2+1)-DIMENSIONS
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