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Analysis of Traffic Jerk Effect in a New Lattice Model with Density-Dependent Passing
In real traffic dynamics, non-motor vehicles often undergo sudden acceleration changes while passing, leading to traffic congestion on roads. Thus, a...
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An Inverse Spectral Problem for a Special Class of Band Matrices and Bogoyavlensky Lattice
AbstractWe study the inverse spectral problem method for one class of band matrices which can be applied to the integration (via Lax formalism) of...
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Spectral stability and dynamics of solitary waves in a coupled nonlinear left-handed transmission line
We study the dynamics of modulated waves in a discrete coupled left-handed nonlinear transmission line, assuming a two-dimensional propagations...
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Variable Coefficients and Nonlinear Problems
This chapter discusses the conservation and stability of difference schemes for linear and nonlinear model equations with variable coefficients. For...
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Heavy Quarks on the Lattice
I review the basic ideas behind lattice QCD calculations that involve charm and bottom quarks. I report on the progress in getting the correct...
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A Simplified Lattice Boltzmann Flux Solver of Multiphase Flows
This chapter presents a simplified version of the multiphase lattice Boltzmann flux solver (MLBFS) that uses both the distribution functions and the...
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Effects of uncertain historical information on traffic dynamics in the lattice model
Several real-time feedback tactics have been presented and applied for traffic dynamics, such as historical density information, historic flux...
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Nonlinear wave propagation in a bistable optical chain with nonreciprocal coupling
The propagation of nonlinear waves, such as fires, weather fronts, and disease spread, has drawn attention since the dawn of time. A well-known...
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Solutions of (3+1)-dimensional extended quantum nonlinear Zakharov–Kuznetsov equation using the generalized Kudryashov method and the modified Khater method
This article deals with finding some exact solutions of the (3+1)-dimensional nonlinear extended quantum Zakharov–Kuznetsov equation using the...
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Flattened and broadband mid-infrared supercontinuum generation in As2S3 photonic crystal fibers with a square air-hole lattice
This paper analyzes smooth and broadband supercontinuum (SC) generation in the mid-infrared range using square-lattice As 2 S 3 -based photonic crystal...
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Study of mixed derivative nonlinear Schrödinger equation for rogue and lump waves, breathers and their interaction solutions with Kerr law
This paper studies various forms of analytical solutions for mixed derivative nonlinear Schrödinger equation (MD-NLSE) which is used extensively in...
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High-harmonic spectroscopy probes lattice dynamics
The probing of coherent lattice vibrations in solids has conventionally been carried out using time-resolved transient optical spectroscopy, with...
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The Problem Solution on the Propagation of a Griffith Crack Based on the Equations of a Nonlinear Model
AbstractOn the basis of a nonlinear model of deformation of a crystalline medium with a complex lattice, the problem of the stationary propagation of...
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Generalized Gibbs Ensemble of the Ablowitz–Ladik Lattice, Circular \(\beta \)-Ensemble and Double Confluent Heun Equation
We consider the discrete defocusing nonlinear Schrödinger equation in its integrable version, which is called defocusing Ablowitz–Ladik lattice. We...
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Baryon Spectroscopy in Lattice QCD
We review recent developments in the study of excited baryon spectroscopy in lattice QCD. After introducing the basic methods used to extract masses...
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Gap solitons in a one-dimensional driven-dissipative topological lattice
Nonlinear topological photonics is an emerging field that aims to extend the fascinating properties of topological states to a regime where...
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Lattice Quantum Gravity: EDT and CDT
This chapter contains an overview of the use of so-called Euclidean dynamical triangulations (EDT) and causal dynamical triangulations (CDT) as...
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Lax pair, interactions and conversions of the nonlinear waves for a (2+1)-dimensional nonlinear Schrödinger equation in a Heisenberg ferromagnetic spin chain
Spin waves, the collective excitations of the electron spin systems in the ferromagnetic metals, are used in the telecommunication systems and...
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Modulational instability in transversely connected nonlinear pendulum pairs
In this work, we investigate the modulational instability (MI) phenomenon in a chain of coupled pendulum pairs, where each pendulum is connected to...
