A5100439597- Nonlinear Waves and Solitons
- Nonlinear Photonic Systems
- Algebraic structures and combinatorial models
- Computational Fluid Dynamics and Aerodynamics
- Aerodynamics and Acoustics in Jet Flows
- Combustion and flame dynamics
- Advanced Mathematical Physics Problems
- Geometric Analysis and Curvature Flows
- Advanced Harmonic Analysis Research
- Advanced Differential Equations and Dynamical Systems
- Differential Equations and Numerical Methods
- Nonlinear Partial Differential Equations
- Advanced Fiber Laser Technologies
- Advanced Mathematical Modeling in Engineering
- Fractional Differential Equations Solutions
- Numerical methods in inverse problems
- Advanced Thermodynamics and Statistical Mechanics
- Advanced Topics in Algebra
- Phosphorus and nutrient management
- Mathematical Dynamics and Fractals
- Mathematical Biology Tumor Growth
- Metallurgical Processes and Thermodynamics
- Spectral Theory in Mathematical Physics
- Quantum Mechanics and Non-Hermitian Physics
- Numerical methods in engineering
Shanghai University
2014-2024
Beijing Forestry University
2024
Yanshan University
2024
Shanghai Research Institute of Materials
2023
Yunnan University
2020-2023
Baoshan College
2023
University of Rochester
2016-2021
Beijing University of Chinese Medicine
2021
Johns Hopkins University
2016-2018
City, University of London
2012-2014
We investigate the Manakov model or, more generally, vector nonlinear Schrödinger equation on half-line. Using a Bäcklund transformation method, two classes of integrable boundary conditions are derived: mixed Neumann/Dirichlet and Robin conditions. Integrability is shown by constructing generating function for conserved quantities. apply mirror image technique to construct inverse scattering method with these The important feature in reconstruction formula fields symmetry property data...
In a previous paper [Nijhoff,Puttock,2003], 2-parameter extension of the lattice potential KdV equation was derived, associated with an elliptic curve. This comprises rather complicated 3-component system on quad which contains moduli curve as parameters. present paper, we investigate this further and, among other results, derive 2-component multiquartic form lattice. Furthermore, construct Yang-Baxter map, and study continuous semi-discrete systems. particular, so-called ``generating PDE''...
Based on recent results obtained by the authors inverse scattering method of vector nonlinear Schrödinger equation with integrable boundary conditions, we discuss factorization interactions N-soliton solutions half-line. Using dressing transformations combined a mirror image technique, soliton–soliton and soliton–boundary is proved. We discover new object, which call reflection map, that satisfies set-theoretical also introduce. Two classes for map are constructed. Finally, basic aspects...
Introduction: Atherosclerosis is the main cause of many cardiovascular diseases and contributes to morbidity mortality worldwide. The formation macrophage-derived foam cells plays a critical role in early stage atherosclerosis pathogenesis. Diterpenoids found flowers Callicarpa rubella Lindl., traditional Chinese medicine, have been reported anti-inflammatory activity. However, little known about effects these diterpenoids on macrophage cell formation. Methods: A model was established by...
The new Modified-690Gd alloy, namely as Ni–30Cr-(10-x) Fe-xGd (x = 0.5, 1.0, 1.5,2.0, 3.0 wt%) for function structure integrated thermal neutron shielding has been prepared and characterized. alloy was mainly composed of γ austenite matrix (Ni, Cr, Fe)5Gd precipitated along grain boundaries. had great mechanical properties, which the tensile strength exceeding 620 MPa elongation being above 50%. Meanwhile, this excellent weldability good corrosion resistance in boric acid. is expected to be...
In this paper, the (2+1)-dimensional Sawada-Kotera equation is studied by truncated Painlevé expansion and Hirota bilinear method. Firstly, based on truncation of series we obtain two distinct transformations which can transform into equations different forms (which are shown to be equivalent). Then employing method, derive analytic one-, two- three-soliton solutions for via symbolic computation. A formula denotes N-soliton solution given simultaneously. At last, evolutions interactions...
Short-chain fatty acids (SCFAs) were extracted from artificial and actual anaerobic fermentation liquid of organic waste via the synthesis layered double hydroxides (LDHs), which was then used as external carbon source in biodenitrification process. Results X-ray diffraction Fourier transform infrared analysis indicate that SCFAs successfully intercalated into LDHs both system food waste, with good slow release performance. When using SCFAs-LDH SCFAs-Na COD/N ratio 4:1, nitrate removal...
We use the Gauss-Bonnet theorem and triangle comparison theorems of Rauch Toponogov to show that on compact Riemannian surfaces negative curvature period integrals eigenfunctions e λ over geodesics go zero at rate O((log λ) -1/2 ) if are their frequencies.As discussed in [4], no such result is possible constant case ≥ 0. Notwithstanding, we also these bounds for valid provided all geodesic balls radius r ≤ 1 pinched from above by -δr N some fixed δ > This allows, instance, be nonpositive...
Dynamics of three nonisospectral nonlinear Schrödinger equations (NNLSEs), following different time dependencies the spectral parameter, are investigated. First, we discuss gauge transformations between standard equation (NLSE) and its first two counterparts, for which derive solutions infinitely many conserved quantities. Then, exact NNLSEs derived in double Wronskian terms. Moreover, analyze dynamics solitons presence effects by demonstrating how shapes, velocities, wave energies change...
Both nitrate and organic matter could be reduced by iron–carbon internal micro-electrolysis electron competition. The main mechanisms of COD removal include adsorption coagulation.
The set-theoretical reflection equation and its solutions, the maps, recently introduced by two of authors, is presented in general then applied context quadrirational Yang-Baxter maps. We provide a method for constructing maps we obtain classification solutions associated to all families that have been classified recently.
Abstract In this paper, squared eigenfunction symmetry of the differential‐difference modified Kadomtsev–Petviashvili (D mKP) hierarchy and its constraint are considered. Under constraint, Lax triplets D mKP hierarchy, together with their adjoint forms, give rise to positive relativistic Toda (R‐Toda) hierarchy. An invertible transformation is given connect negative R‐Toda hierarchies. The reduced Burgers We also consider another show that gives Volterra addition, we revisit Ragnisco–Tu...
We study a generalization of recently introduced Dicke trimer model [Phys. Rev. Lett. 128, 163601 (2022); Phys. Res. 5, L042016 (2023)], which allows for cavity losses and unbalanced light-matter interactions (in rotating counter-rotating terms can be tuned independently). In the original description trimer, three models are coupled in ring topology via complex photon hopping whose phase describes synthetic magnetic field threading loop. This features several intriguing equilibrium phases...
A time-to-digital converter (TDC) is described, integrated on a single field-programmable gate array device with 75 ps single-shot resolution (LSB). Multiple-shot measurement statistically improves to about 5 ps. The circuit based counter and two-step cascading delay line method that uses only 24 cells provide 128 LSBs in the interpolator resolves time interval within reference clock cycle. relevant calibration also presented obtain parameters of TDC at current temperature voltage. This can...
With the help of symbolic computation, Whitham-Broer-Kaup shallow water model is analyzed for its integrability through Painlev´e analysis. Then, by truncating Painlevé expansion at constant level term with two singular manifolds, Hirota bilinear form obtained and corresponding N-soliton solution graphic analysis also given. Furthermore, a auto-Bäcklund transformation constructed model, from which one-soliton presented.