sponsored by the National Natural Science Foundations of China under Grant Nos.12301315,12235007,11975131;the Zhejiang Provincial Natural Science Foundation of China under Grant No.LQ20A010009。
In the realm of nonlinear integrable systems,the presence of decompositions facilitates the establishment of linear superposition solutions and the derivation of novel coupled systems exhibiting nonlinear integrabilit...
In this paper,the physics informed neural network(PINN)deep learning method is applied to solve two-dimensional nonlocal equations,including the partial reverse space y-nonlocal Mel'nikov equation,the partial reverse ...
supported in part by the NSFC(12271488,11975145,11972291);the Ministry of Science and Technology of China(G2021016032L,G2023016011L);the Natural Science Foundation for Colleges and Universities in Jiangsu Province(17 KJB 110020)。
This paper aims to construct six-component integrable hierarchies from a kind of matrix spectral problems within the zero curvature formulation.Their Hamiltonian formulations are furnished by the trace identity,which ...
Project supported by the National Natural Science Foundation of China(Grant Nos.11775100,12247101,and 11961131009);the financial support from the China Scholarship Council(Grant No.CSC202306180087);the financial support from the Institute for Basic Science in Korea(Grant No.IBS-R024-D1)。
We report on the theoretical and experimental investigations of the transition of a typical quantum system with mixed regular-integrable classical dynamics to one with violated time-reversal(T)invariance.The measureme...
supported by National Natural Science Foundation of China(Grant No.12161141001);the Fundamental Research Funds for the Central Universities(Grant No.20720230020);S.Tan is supported by National Natural Science Foundation of China(Grant No.12131018)。
In this paper,we construct a superfermionic representation as well as a vertex representation for twisted general linear affine Lie superalgebras.We also establish a module isomorphism between them,which generalizes t...
supported by the National Natural Science Foundation of China(No.12031009)。
The authors give a stochastic maximum principle for square-integrable optimal control of linear stochastic systems.The control domain is not necessarily convex and the cost functional can have a quadratic growth.In pa...
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 ...
Project supported by the National Natural Science Foundation of China(Grant Nos.12326305,11931017,and 12271490);the Excellent Youth Science Fund Project of Henan Province(Grant No.242300421158);the Natural Science Foundation of Henan Province(Grant No.232300420119);the Excellent Science and Technology Innovation Talent Support Program of ZUT(Grant No.K2023YXRC06);Funding for the Enhancement Program of Advantageous Discipline Strength of ZUT(2022)。
Under investigation is an integrable generalization of the Fokas–Lenells equation, which can be derived from the negative power flow of a 2 × 2 matrix spectral problem with three potentials. Based on the gauge trans...
We present an eight component integrable Hamiltonian hierarchy, based on a reduced seventh order matrix spectral problem, with the aim of aiding the study and classification of multicomponent integrable models and the...
Project supported by the National Natural Science Foundation of China(Grant No.11574153);the Foundation of the Ministry of Industry and Information Technology of China(Grant No.TSXK2022D007)。
This study numerically investigates the nonlinear interaction of head-on solitary waves in a granular chain(a nonintegrable system)and compares the simulation results with the theoretical results in fluid(an integrabl...