supported in part by NSFC under Grants 12271488, 11975145 and 11972291;the Ministry of Science and Technology of China (G2021016032L and G2023016011L);the Natural Science Foundation for Colleges and Universities in Jiangsu Province (17 KJB 110020)
This paper aims to propose a fourth-order matrix spectral problem involving four potentials and generate an associated Liouville integrable hierarchy via the zero curvature formulation.A bi-Hamiltonian formulation is ...
partially funded by AFOSR MURI FA9550-18-502,ONR N00014-18-1-2527,N00014-18-20-1-2093,N00014-20-1-2787;supported by the NSF Graduate Research Fellowship under Grant No.DGE-1650604.
Computing tasks may often be posed as optimization problems.The objective functions for real-world scenarios are often nonconvex and/or nondifferentiable.State-of-the-art methods for solving these problems typically o...
supported by the DOE-MMICS SEA-CROGS DE-SC0023191 and the AFOSR MURI FA9550-20-1-0358;supported by the SMART Scholarship,which is funded by the USD/R&E(The Under Secretary of Defense-Research and Engineering),National Defense Education Program(NDEP)/BA-1,Basic Research.
Two of the main challenges in optimal control are solving problems with state-dependent running costs and developing efficient numerical solvers that are computationally tractable in high dimensions.In this paper,we p...
Background: High-intensity focused ultrasound (HIFU) has been introduced to improve skin laxity in recent years. However, very few studies have evaluated the safety and effectiveness of HIFU in Chinese populations. Me...
sponsored by the National Natural Science Foundations of China(Nos.12235007,11975131,11435005,12275144,11975204);KC Wong Magna Fund in Ningbo University;Natural Science Foundation of Zhejiang Province No.LQ20A010009。
The derivation of nonlinear integrable evolution partial differential equations in higher dimensions has always been the holy grail in the field of integrability.The well-known modified Kd V equation is a prototypical...
support of the National Natural Science Foundation of China(Nos.12275144,12235007 and 11975131);the K C Wong Magna Fund at Ningbo University。
A novel(2+1)-dimensional nonlinear Boussinesq equation is derived from a(1+1)-dimensional Boussinesq equation in nonlinear Schr?dinger type based on a deformation algorithm.The integrability of the obtained(2+1)-dimen...
Some new systems of exponentially general equations are introduced and investigated, which can be used to study the odd-order, non-positive and nonsymmetric exponentially boundary value problems. Some important and in...
This work was supported by the National Key Research and Development Program of China(2017YFA0206803);the National Natural Science Foundation of China(21878315);the Key Programs of the Chinese Academy of Sciences(KFZD-SW-413);the Key Programs of Innovation Academy for Green Manufacture,CAS(IAGM2020C17);K.C.Wong Education Foundation(No.GJTD-2018-04);the Major Program of National Natural Science Foundation of China(21890762).
Lanthanum-containing(LaX)and cerium-containing X zeolites(CeX)were prepared by a doubleexchange,double-calcination method.By changing the calcination atmospheres between nitrogen and air,the Ce^(IV) contents in CeX ze...