Showing papers in "Communications in Nonlinear Science and Numerical Simulation in 2022"

TL;DR: In this article , the necessary and sufficient conditions for deriving lump solutions to four special types of (3+1)-dimensional nonlinear evolution equations were presented, and two approaches to construct lump-multi-kink solutions by virtue of two kinds of test functions were proposed.

TL;DR: In this paper , a new fractional-order 4D neural networks incorporating two different time delays is proposed and the stability and the emergence of Hopf bifurcation are explored.

TL;DR: In this article, the exact rogue periodic wave (rogue wave on the periodic background) and periodic wave solutions for the Chen-Lee-Liu equation via the odd-th order Darboux transformation were considered.

TL;DR: In this article , a coupled nonlinear modeling for composite cylindrical shells is developed by the improved Donnell nonlinear shell theory and Maxwell static electricity/magnetism equations.

TL;DR: Results reveal the dual influences of structural size-dependent effects and indicate that the response is more sensitive to the size- dependent effects when the flow velocity is close to the critical buckling velocity.

TL;DR: In this paper, the authors investigated a variable-coefficient modified Kadomtsev-Petviashvili system for certain electromagnetic waves in an isotropic charge-free infinite ferromagnetic thin film with the potential application in magneto-optic recording.

TL;DR: In this article , the exact rogue periodic wave (rogue wave on the periodic background) and periodic wave solutions for the Chen-Lee-Liu equation via the odd-th order Darboux transformation were considered.

TL;DR: In this paper , a comprehensive size-dependent nanotube model is established in which the nonlocal stress, strain gradient and surface energy effect are coupled in the constructive model. And an analytical method for nonlinear principal resonance analysis is developed.

TL;DR: In this paper , the authors investigated a variable-coefficient modified Kadomtsev-Petviashvili system for certain electromagnetic waves in an isotropic charge-free infinite ferromagnetic thin film with the potential application in magneto-optic recording.

TL;DR: A strong-form local meshless approach established on radial basis function-finite difference (RBF-FD) method for spatial approximation is developed in this article, where polyharmonic splines are used as radial basis functions with augmented polynomials.

TL;DR: In this paper , the Darboux transformation was used to obtain the general nth-order rogue wave solution involving two different choices of multiple roots for the spectral characteristic equation and the multiparametric nthorder semirational solution in terms of Schur polynomials.

TL;DR: In this paper , a modified Sprott-A system without equilibrium point but with perpetual points is presented, and the locations of the scrolls of chaotic sea are found having potential relevance to the sine nonlinearities and perpetual points.

TL;DR: In this paper , a three-component coupled nonlinear Schrödinger (NLS) system was studied and the Darboux transformation was induced via a rank-two projection matrix, where the positive integers N and m denote the number of iterative times and distinct spectral parameters.

TL;DR: In this article , the Lie point symmetries, conservation laws, and traveling wave reductions have all been derived, and new forms of soliton solutions of generalized q-deformed equation via means of unified method has been extracted.

TL;DR: In this article , the authors analyzed the time-series evolution of the cumulative number of confirmed cases of COVID-19, the novel coronavirus disease, for some African countries.

TL;DR: In this article, the authors analyzed the time-series evolution of the cumulative number of confirmed cases of COVID-19, the novel coronavirus disease, for some African countries.

TL;DR: In this paper , a piecewise linear oscillator with a play was used to investigate the dynamics of a non-smooth system, and the Incremental Harmonic Balance Method and the method of Harmonic balance with alternating frequency and time were used to compute the period one orbits, including those exhibiting grazing and large impacts.

TL;DR: In this article , a mixed variational framework is conceived based on ad hoc functional space of kinetic test fields, wherein a complete set of governing equations, classical and non-standard boundary conditions, and the constitutive relations are integrated into a solitary functional.

TL;DR: In this paper, three kinds of numerical formulas are proposed for approximating the Caputo-Hadamard fractional derivatives, which are called L1-2 formula, L2-1 σ formula, and H2N2 formula.

TL;DR: In this paper , three kinds of numerical formulas are proposed for approximating the Caputo-Hadamard fractional derivatives, which are called L1-2 formula, L2-1σ formula, and H2N2 formula.

TL;DR: Linear and nonlinear free vibration analysis of functionally graded porous (FGP) nanobeam with four different porous distribution patterns is performed on the basis of stress-driven two-phase local/nonlocal integral model as mentioned in this paper .

TL;DR: In this article , a temperature-induced pattern formation in a two-dimensional regular lattice network composed of thermosensitive neurons was studied, and the effect of parameters (coupling amplitude and temperature spatial gradient distribution of neural network on pattern formation and synchronization stability was investigated.

TL;DR: In this article, a pair of hybrid block techniques is constructed and successfully applied to integrate Emden-Fowler third-order singular boundary problems, and the numerical results are compared with other recent numerical approaches in the literature.

TL;DR: Time-triggered intermittent control (TIC) is proposed in this paper to investigate the exponential synchronization issue of chaotic Lur'e systems, where the difference between IC and TIC is that, on control time intervals, the former is updated in a continuous manner while the latter is updated at every sampling instant.

TL;DR: In this paper , the anomalous scattering of lumps within the framework of the Kadomtsev-Petviashvili equation has been studied and a simple method to derive weak interactions between lumps and multilumps is suggested.

TL;DR: In this article , a pair of hybrid block techniques is constructed and successfully applied to integrate Emden-Fowler third-order singular boundary problems, and the numerical results are compared with other recent numerical approaches in the literature.

TL;DR: A new realistic formulation for Fo-LIF model is proposed to better describe its functionality that is aligned with the integer model, and time complexity comparison between the models shows that PI-Rect is 2x faster in simulation than L 1 approximation, which is commonly used in fractional spiking neurons.

TL;DR: It follows that the bi-Hamiltonian structures of these two hierarchies is derived based on the Z N ɛ -trace identity that was constructed.

TL;DR: In this paper , the localized solutions of the (2+1)-dimensional B-Kadomtsev-Petviashvili (BKP) equation, which is a useful physical model, are further studied.

TL;DR: A generalized BKP equation which is an augmentation of the Bogoyavlenskii–Schiff equation and Kadomtsev–Petviashvili equation is probed and can well mimic complex waves and their dealing dynamics in fluids.