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INTEGRABILITY: 作品数：156被引量：151H指数：4; 导出分析报告; 相关领域：理学更多>>; 相关作者：徐森林许志才更多>>; 相关机构：中国科学技术大学中国科技大学更多>>; 相关期刊：《International Journal of Biomathematics》《International Journal of Modern Nonlinear Theory and Application》《Journal of Applied Mathematics and Physics》《Science China Mathematics》更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划国家教育部博士点基金宁波市自然科学基金更多>>

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

Painlevéintegrability,auto-Bäcklund transformations,new abundant analytic solutions including multi-soliton solutions for time-dependent extended KdV8 equation in nonlinear physics: 《Journal of Ocean Engineering and Science》2024年第5期489-507,共19页Shailendra Singh S.Saha Ray; In this paper,a new eighth-order(1+1)-dimensional time-dependent extended KdV equation has been developed.This considered equation is being found completely integrable by using the Painlevéanalysis method.Moreover,th...; 关键词：Higher-order KdV equation Painlevéanalysis Auto-Bäcklund transformation Simplified Hirota method

Derivatives of Intersection Local Time for Two Independent Symmetricα-stable Processes: 《Acta Mathematica Sinica,English Series》2024年第5期1273-1292,共20页Huan ZHOU Guang Jun SHEN Qian YU; Supported by National Natural Science Foundation of China(Grant Nos.12071003,12201294);Natural Science Foundation of Jiangsu Province,China(Grant No.BK20220865)。; In this paper,we consider the derivatives of intersection local time for two independent d-dimensional symmetricα-stable processes X^(α) and X^(α)with respective indices α and α.We first study the sufficient cond...; 关键词：Symmetric stable processes intersection local time exponential integrability power variation

Higher order Dirac structure and Nambu-Poisson geometry: 《Frontiers of Mathematics in China》2024年第1期37-56,共20页Yanhui BI Jia LI; This paper studies the properties of Nambu-Poisson geometry from the(n-l,k)-Dirac structure on a smooth manifold M.Firstly,we examine the automorphism group and infinitesimal on higher order Courant algebroid,to prove...; 关键词：Nambu-Poisson structure n-symplectic structure (n-1 k)-Dirac structure INTEGRABILITY

Conservation laws,Lie symmetries,self adjointness,and soliton solutions for the Selkov–Schnakenberg system: 《Communications in Theoretical Physics》2024年第2期29-44,共16页Kashif Ali Aly R Seadawy Syed T R Rizvi Noor Aziz; In this article,we explore the famous Selkov–Schnakenberg(SS)system of coupled nonlinear partial differential equations(PDEs)for Lie symmetry analysis,self-adjointness,and conservation laws.Moreover,miscellaneous sol...; 关键词：Selkov-Schnakenberg system Lie symmetry analysis conservation laws adjointness INTEGRABILITY

Integrability and solutions of a nonsymmetric discrete Korteweg-de Vries equation被引量：1: 《Communications in Theoretical Physics》2024年第2期45-50,共6页Maebel Mesfun Da-jun Zhang Song-lin Zhao; supported by the NSF of China(Nos.12271334,12071432)。; In this paper,we present Lax pairs and solutions for a nonsymmetric lattice equation,which is a torqued version of the lattice potential Korteweg-de Vries equation.This nonsymmetric equation is special in the sense th...; 关键词：discrete Korteweg-de Vries equation NONSYMMETRIC multi-dimensional consistency Backlund transformation solution

Residual symmetry, CRE integrability and interaction solutions of two higher-dimensional shallow water wave equations被引量：1: 《Chinese Physics B》2023年第11期313-319,共7页刘希忠李界通俞军; Project supported by the National Natural Science Foundation of China (Grant Nos. 11975156 and 12175148)。; Two(3+1)-dimensional shallow water wave equations are studied by using residual symmetry and the consistent Riccati expansion(CRE) method. Through localization of residual symmetries, symmetry reduction solutions of t...; 关键词：(3+1)-dimensional shallow water wave equation residual symmetry consistent Riccati expansion

The residual symmetry,Bäcklund transformations,CRE integrability and interaction solutions:(2+1)-dimensional Chaffee–Infante equation: 《Communications in Theoretical Physics》2023年第11期30-37,共8页Nursena Günhan Ay Emrullah Yaşar; In this paper,we consider the(2+1)-dimensional Chaffee-Infante equation,which occurs in the fields of fluid dynamics,high-energy physics,electronic science etc.We build Bäcklund transformations and residual symmetries...; 关键词：(2+1)-dimensional Chaffee-Infante equation Painlevétruncated exapansion approach dynamic analysis Bäcklund transformations residual symmetries

Diversity of wave structures to the conformable fractional dynamical model: 《Journal of Ocean Engineering and Science》2023年第5期559-572,共14页U.Younas J.Ren; The authors would like to acknowledge the financial support provided for this research via Open Fund of State Key Laboratory of Power Grid Environmental Protection(No.GYW51202101374);the National Natural Science Foundation of China(52071298),Zhong Yuan Science and Technology Innovation Leadership Pro-gram(214200510010).; This manuscript examines the recently developed conformable three-dimensional Wazwaz-Benjamin-Bona-Mahony(3D-WBBM)equation’s dynamical behavior in terms of its spatial and temporal variables.The governing equation is...; 关键词：INTEGRABILITY Soliton solutions 3D-WBBM equation Kudryashov and modified Kudryashov method NEDAM

Differential Galoisian approach to Jacobi integrability of general analytic dynamical systems and its application被引量：1: 《Science China Mathematics》2023年第7期1473-1494,共22页Kaiyin Huang Shaoyun Shi Shuangling Yang; supported by National Natural Science Foundation of China(Grant No.11771177),National Natural Science Foundation of China(Grant Nos.12001386 and 12090013);Science and Technology Development Project of Jilin Province(Grant No.YDZJ202101ZYTS141);supported by Sichuan University Postdoctoral Interdisciplinary Innovation Fund(Grant No.0020104153010);the Fundamental Research Funds for the Central Universities(Grant No.20826041E4168)。; The Morales-Ramis theory provides an effective and powerful non-integrability criterion for complex analytic Hamiltonian systems via the differential Galoisian obstruction.In this paper,we give a new Morales-Ramis typ...; 关键词：Morales-Ramis theory Jacobi integrability differential Galois groups Karabut systems

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