A5100681506- Nonlinear Waves and Solitons
- Nonlinear Photonic Systems
- Advanced Fiber Laser Technologies
- Advanced Differential Equations and Dynamical Systems
- Advanced Mathematical Physics Problems
- Machine Learning in Materials Science
- Model Reduction and Neural Networks
- Algebraic structures and combinatorial models
- Quantum Information and Cryptography
- Educational Technology and Pedagogy
- Mathematical and Theoretical Epidemiology and Ecology Models
- Quantum, superfluid, helium dynamics
- Quantum Mechanics and Applications
- Quantum optics and atomic interactions
Beijing University of Posts and Telecommunications
2019-2020
Southwest Jiaotong University
2014-2016
National University of Defense Technology
2009
Hamiltonian matrix prediction is pivotal in computational chemistry, serving as the foundation for determining a wide range of molecular properties. While SE(3) equivariant graph neural networks have achieved remarkable success this domain, their substantial cost-driven by high-order tensor product (TP) operations-restricts scalability to large systems with extensive basis sets. To address challenge, we introduce SPHNet, an efficient and scalable network that incorporates adaptive sparsity...
The Cauchy problem for a generalized two-component Camassa-Holm system is investigated. Following the idea of fixed points and using new sets independent dependent variables, existence global conservative solutions established.
To implement generalized quantum measurement (GQM) one has to extend the original Hilbert space. Generally speaking, additional dimensions of ancilla space increase as number operators GQM n increases. This paper presents a scheme for deterministically implementing all possible n-operator GQMs on single atomic qubit by using only 2-dimensional ancillary repeatedly, which remarkably reduces complexity realistic physical system. Here is encoded in internal states an atom trapped optical cavity...
The weakly dissipative 2-component Camassa-Holm system is considered. A local well-posedness for the in Besov spaces established by using Littlewood-Paley theory and a priori estimates solutions of transport equation. wave-breaking mechanisms exact blow-up rate strong to are presented. Moreover, global existence result derived.
The local well-posedness for the Cauchy problem of dissipative 2-component Camassa–Holm system is established by using Littlewood–Paley theory and a priori estimates solutions to transport equation. blow-up results, exact rate, global existence are analyzed. Moreover, infinite propagation speed investigated. novelty in this paper that effects diffusion coefficient given an apparent form.
In this letter, we study a (2[Formula: see text]+[Formula: text]1)-dimensional variable-coefficient nonlinear Schrödinger system, which describes an optical beam inside the two-dimensional graded-index waveguide with polarization effects. Through Kadomtsev–Petviashvili hierarchy reduction, [Formula: text] dark–dark soliton and bright-dark solutions in terms of Gramian are obtained, where is positive integer. We analyze interaction propagation solitons graphically. With different values...
Abstract The persistence properties of solutions to the dissipative 2-component Degasperis-Procesi system are investigated. We find that if initial data with their derivatives exponentially decay at infinity, then corresponding solution also decays infinity. MSC: 35G25, 35L15, 35Q58.
The global stabilization of the Camassa-Holm equation with a distributed feedback control form $-(\lambda u-\beta u_{xx}-\lambda[u])$ is investigated. existence and uniqueness strong solutions weak to closed loop system are obtained. exponential asymptotical problem established. Namely, exponentially uniformly decay constant. main novelty in this paper that effects coefficients λ β on given.
Kerr media are applied in the photonic lattices and optical fibers, while fiber communication becomes one of main pillars modern communication. In this letter, we study a (3[Formula: see text]+[Formula: text]1)-dimensional nonlinear Schrödinger equation with distributed coefficients for spatiotemporal solitons or light bullets diffractive medium anomalous dispersion. The N-dark soliton solutions terms Gramian is obtained via Kadomtsev–Petviashvili hierarchy reduction, where N positive...