Exact solutions to differential equations with delay for dissipative systems

DOI10.1016/S0375-9601(99)00419-3zbMath0939.34072OpenAlexW1964932341MaRDI QIDQ1966908

Yanyan Li

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(99)00419-3

zbMATH Keywords

traffic flowdifferential-difference equationssoliton systemsJacobi's elliptic functiontraveling cluster

Mathematics Subject Classification ID

Soliton equations (35Q51) General theory of functional-differential equations (34K05) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Dynamical systems in optimization and economics (37N40)

Related Items (4)

Integrable delay-difference and delay-differential analogs of the KdV, Boussinesq, and KP equations ⋮ A systematic construction of integrable delay-difference and delay-differential analogues of soliton equations ⋮ Soliton solutions of exactly solvable dissipative systems ⋮ GENERALIZED OPTIMAL VELOCITY MODEL FOR TRAFFIC FLOW

Cites Work

• Unnamed Item
• Delays in physiological systems
• Exact solutions for a discrete system arising in traffic flow
• Nonlinear differential–difference equations and Fourier analysis

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