supported by Hunan Provincial Natural Science Foundation of China Grant No.2021JJ30297;Scientific Research Fund of Hunan Provincial Education Department No.22A0478 and No.22C0365;Hunan Province Graduate Research Innovation,China Project No.CX20231208;Research and Innovation team of Hunan Institute of Science and Technology (Grant No.2019-TD-15).
In this paper,by using the bifurcation theory for dynamical system,we construct traveling wave solutions of a high-order nonlinear Schrödinger equation with a quintic nonlin-earity.Firstly,based on wave variables,the ...
Scientific Research Foundation of Weifang University of Science and Technology(Grant No.KJRC2022002);Shandong Province Higher Educational Science and Technology Program(Grant No.J18KB108);Research start-up fees for doctoral degree holders and senior professional title holders with master’s degrees of Binzhou University(Grant No.2022Y12)。
We take the higher-order nonlinear Schrodinger equation as a mathematical model and employ the bilinear method to analytically study the evolution characteristics of femtosecond solitons in optical fibers under higher...
supported by National Natural Science Foundation of China(Grant Nos.11401035,11671413 and U1530261)。
We provide a systematic study for the generalized Riemann problem(GRP)of the nonlinear hyperbolic balance law,which is critically concerned with the construction of the spatial-temporally coupled high-order Godunov-ty...
supported by National Natural Science Foundation of China(Grant No.62073096);Science Center Program of National Natural Science Foundation of China(Grant No.62188101);Heilongjiang Touyan Team Program。
Dear editor,The dynamics of system components is usually governed by high-order diferential equations in engineering practice.However,these high-order systems are mostly converted into first-order systems and treated ...
Research of Linjin Li and Jingmei Qiu is supported by the NSF grant NSF-DMS-1818924;the Air Force Office of Scientific Computing FA9550-18-1-0257 and the University of Delaware;the Italian Ministry of Instruction,University and Research(MIUR)to support this research with funds coming from the PRIN Project 2017,No.2017KKJP4X and ITN-ETN Horizon 2020 Project,Project Reference 642768.
In this paper,we propose a new conservative high-order semi-Lagrangian finite difference(SLFD)method to solve linear advection equation and the nonlinear Vlasov and BGK models.The finite difference scheme has better c...
supported by the Original Exploration Project of Natural Science Foundation of China(No.12150001);the National Key Research and Development Program of China(No.2018YFB1900400);the National Natural Science Foundation of China(No.11832019);the Nuclear Power Technology Innovation Center of Science Technology and Industry for National Defense of China(No.HDLCXZX-2021-HD-035)。
The stress and the strain should be defined as statistical variables averaged over the representative volume elements for any real continuum system.It is shown that their nonlinear spatial distributions undermine the ...
supported by National Science Foundation of China(52171251);Liao Ning Revitalization Talents Program(XLYC1907014);the Fundamental Research Funds for the Central Universities(DUT21ZD205);Ministry of Industry and Information Technology(2019-357);the Project of State Key Laboratory of Satellite Ocean Environment Dynamics,Second Institute of Oceanography,MNR(QNHX2112)。
We propose an effective scheme of the deep learning method for high-order nonlinear soliton equations and explore the influence of activation functions on the calculation results for higherorder nonlinear soliton equa...
supported in part by the National Natural Science Foundation of China(62173255,62188101)。
This paper is concerned with the coordinative control problem of networked nonlinear multi-agents(NNM)with communication delays.A high-order fully actuated(HOFA)model is introduced to describe the nonlinear multi-agen...
Supported by the National Key Research and Development Program of China(Nos.2016YFC1402004,2016YFC1401805)
As concluded from physical theory and laboratory experiment,it is widely accepted that nonlinearities of sea state play an important role in the formation of rogue waves;however,the sea states and corresponding nonlin...
Project supported by the National Natural Science Foundation of China(Grant Nos.61401395 and 61604128);the Scientific Research Fund of Zhejiang Provincial Education Department,China(Grant No.Y201533913);the Fundamental Research Funds for the Central Universities,China(Grant Nos.2016QNA4025 and 2016QN81002)
Active metamaterials embedded with nonlinear elements are able to exhibit strong nonlinearity in microwave regime.However, existing S-parameter based parameter retrieval approaches developed for linear metamaterials d...