Showing papers in "Communications in Nonlinear Science and Numerical Simulation in 2021"

TL;DR: This paper conducts the Painleve analysis of the novel (2+1)-dimensional Kadomtsev-Petviashvili type equations and derives the soliton solutions and gives the formula of the N -soliton solution, which is proved by means of the Hirota condition.

TL;DR: A modified Chua's circuit is implemented using a 5-segment piecewise-linear Chua’s diode, and it is demonstrated that the hidden attractors have very small basins of attraction not being connected with any fixed point.

TL;DR: In this paper, an optional decoupling condition approach is proposed for deriving the lump-stripe solutions and lump-soliton solutions to the KPI equation, which can be applied to a wide class of nonlinear evolution equations.

TL;DR: The test function method combined with the bilinear form is used to obtain the lump solutions to the generalized Burgers equation with variable coefficients and finds that the shape of kink waves might be parabolic type, and one lump wave can be decomposed into two lump waves.

TL;DR: This work studies collisions of coherent structures in higher-order field-theoretic models, finding that, when suitably initialized, these models still feature the multi-bounce resonance windows earlier found in models in which the kinks bear exponential tails.

TL;DR: The results show that the size-dependency of the material properties in the presence of flexoelectric effect has significant importance in the nano-scale and with regarding to application of this type of nano-plate in oscillators, considering the flexoelectedric effect.

TL;DR: The Painleve test is applied to study the integrability of the mathematical model and exact solutions for the generalized Duffing oscillator are found for equations of fourth, sixth, eighth and tenth order in the form of periodic oscillations and solitary pulse.

TL;DR: This article investigates the exact and mixed lump wave solitons to the (3+1)-dimensional potential YTSF equation, which is an extension of the Bogoyavlenskii-Schif equation using the extended three soliton test approach.

TL;DR: The unconditional stability and convergence of the time-discretized formulation are demonstrated and confirmed numerically, and the numerical results highlight the accuracy and the validity of the method.

TL;DR: With an appropriate fulcrum location, the performance of the LNES-GMP, which contains less attached mass, is more improved than the traditional NES-G MPs and could dramatically increase the voltage of the system.

TL;DR: An interaction of two-soliton solutions, interactions of the kink with other types of solitary wave solutions of Pavlov equation are constructed via Lie symmetry analysis, and conservation laws are obtained by invoking the multiplier method.

TL;DR: It is shown that adding the inerter can considerably suppress the bending trend of the transmissibility curve, thereby resulting in a much wider frequency range of isolation as well as a lower peak transmissability.

TL;DR: The soliton molecule consisting of a lump wave, a line wave and any number of breather waves is derived for the first time by the continued introduction of velocity resonance and can be extended to other (2 + 1)-dimensional integrable systems.

TL;DR: A modified grey prediction model with damping trend factor is proposed, an optimized form of the traditional first-order accumulated generating operator that can flexibly adjust the prediction trend of the grey model.

TL;DR: In this article, a mathematical model was proposed to simulate the spread of SARS-CoV-2 in COVID-19, showing that even with the number of infections slowing down, the effective reproduction number of just the new variant may be greater than 1 and, eventually, a new wave would increase towards a new disease wave.

TL;DR: Wang et al. as mentioned in this paper proposed a composite forecasting model by adaptive data preprocessing and optimized nonlinear grey Bernoulli model, which can effectively extract the potential patterns of recent development.

TL;DR: A new mathematical model for the characterization of Zika infection with mutations and optimal controls is presented and a set of controls for the elimination of the Zika virus from a community is proposed.

TL;DR: An extended lattice model incorporating not only multiple connected vehicles but also the continuous delay feedback control signals is proposed and results show that the continuous traffic information and the controller contribute to mitigate traffic jam.

TL;DR: In this article, a discrete grey seasonal model, abbreviated as DGSM(1, 1), is put forward by incorporating the seasonal dummy variables into the conventional model, revealing the inherent differences from the existing seasonal grey models.

TL;DR: An in-host model that highlights the effector T-cell response to SARS-CoV-2 suggests that the virus may replicate fast enough to overcome T cell response and cause infection.

TL;DR: The CAPD::DynSys library as discussed by the authors is a library for rigorous numerical analysis of dynamical systems and can be used for computer assisted proofs in dynamics of ODEs.

TL;DR: The variable-order Scarpi integral and derivative as mentioned in this paper is based on a naive modification of the representation in the Laplace domain of standard kernels functions involved in (constant-order) fractional calculus.

TL;DR: In this paper, the propagation characteristics of complex-valued hyperbolic-cosine-Gaussian (CVHCG) beams were studied based on the nonlocal nonlinear Schrodinger equation in strongly nonlinear nonlinear media (SNNM).

TL;DR: In this paper, the authors investigated synchronization in a set of high-dimensional generalizations of the Lorenz system obtained from the inclusion of additional Fourier modes and showed that these systems exhibit self-synchronization.

TL;DR: The basic reproduction number is seen to be slightly above the critical value of one suggesting that stricter measures such as the use of face-masks, social distancing, contact tracing, and even longer stay-at-home orders need to be enforced in order to mitigate the spread of the virus.

TL;DR: An approach to solving coefficient inverse problems for nonlinear reaction-diffusion-advection equations is proposed and a use of asymptotic analysis methods to select a good initial guess in a gradient method for minimizing a cost functional that occurs when solving the coefficient inverse problem.

TL;DR: In this paper, a hybrid method combining Elastic Net and multi-objective optimization is introduced in order to improve its generality, which effectively solves the essential defect of the ill-posed problem of the NGBMC (1, n) model.

TL;DR: In this paper, the authors investigate the existence results for a novel modeling of the fractional multi-term boundary value problems on each edge of the graph representation of the Glucose molecule.

TL;DR: It is shown how a nonlinear elastic mechanical system can be exploited to increase the elastic potential energy compared to its linear counterpart.

TL;DR: The mixed traffic with connected and non-connected vehicles is studied, and the mixed traffic lattice hydrodynamic model is presented, and it is shown that increasing the communication range and permeability of connected vehicle will make the traffic system more stable.