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作品数:299被引量:206H指数:6
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Multi-component decompositions,linear superpositions,and new nonlinear integrable coupled KdV-type systems
《Communications in Theoretical Physics》2025年第2期1-12,共12页Xiazhi Hao S Y Lou 
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...
关键词:integrable system single-component decomposition multi-component decomposition linear superposition integrable coupled KdV-type system 
PINN for solving forward and inverse problems involving integrable two-dimensional nonlocal equations
《Communications in Theoretical Physics》2025年第2期13-20,共8页Xi Chen Wei-Qi Peng 
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 ...
关键词:two dimensional nonlocal equations PINN soliton solution rogue wave inverse problems 
NOVEL INTEGRABLE HAMILTONIAN HIERARCHIES WITH SIX POTENTIALS
《Acta Mathematica Scientia》2024年第6期2498-2508,共11页Wenxiu MA 
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 ...
关键词:matrix spectral problem zero curvature equation integrable hierarchy NLS equations mKdV equations 
Experimental test of an extension of the Rosenzweig-Porter model to mixed integrable-chaotic systems experiencing time-reversal invariance violation
《Chinese Physics B》2024年第12期203-213,共11页Xiaodong Zhang Jiongning Che Barbara Dietz 
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...
关键词:wave chaos quantum chaos quantum billiards microwave billiards random matrix theory microwave experiments 
A Boson-fermion Realization of Highest Weight Modules over g^(l)_(M|N)(θ)
《Acta Mathematica Sinica,English Series》2024年第12期2879-2903,共25页Fu Lin CHEN Xin HUANG Shao Bin TAN 
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...
关键词:Twisted affine Lie superalgebra integrable highest weight module super boson-fermion correspondence 
Stochastic Maximum Principle for Square-Integrable Optimal Control of Linear Stochastic Systems
《Chinese Annals of Mathematics,Series B》2024年第5期661-676,共16页Shanjian TANG Xueqi WANG 
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...
关键词:Stochastic maximum principle Optimal control Linear stochastic system Square integrability 
A combined Liouville integrable hierarchy associated with a fourth-order matrix spectral problem被引量:1
《Communications in Theoretical Physics》2024年第7期1-8,共8页Wen-Xiu Ma 
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 ...
关键词:INTEGRABLE hierarchy HAMILTONIAN structure zero curvature equation LAX pair MATRIX spectral problem 
An integrable generalization of the Fokas–Lenells equation:Darboux transformation, reduction and explicit soliton solutions
《Chinese Physics B》2024年第7期117-124,共8页魏姣 耿献国 王鑫 
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...
关键词:Darboux transformation soliton solutions generalized Fokas–Lenells equation 
An Eight Component Integrable Hamiltonian Hierarchy from a Reduced Seventh-Order Matrix Spectral Problem
《Journal of Applied Mathematics and Physics》2024年第6期2102-2111,共10页Savitha Muthanna Wen-Xiu Ma 
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...
关键词:Matrix Spectral Problem Zero Curvature Equation Lax Pair Integrable Hierarchy NLS Equations mKdV Equations Hamiltonian Structure Lie Bracke 
Nonlinear interaction of head-on solitary waves in integrable and nonintegrable systems
《Chinese Physics B》2024年第5期480-487,共8页张树甜 刘世鲲 矫滕菲 孙敏 胡凤兰 黄德财 
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...
关键词:integrable system nonintegrable system granular chain solitary wave 
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