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SELF-ADJOINTNESS: 作品数：10被引量：23H指数：4; 导出分析报告; 相关领域：理学更多>>; 相关作者：安建业孙炯曹之江徐言博更多>>; 相关机构：内蒙古大学教育部更多>>; 相关期刊：《Science China Mathematics》《Acta Mathematica Sinica,English Series》《Science China(Technological Sciences)》《Communications in Theoretical Physics》更多>>; 相关基金：国家自然科学基金国家教育部博士点基金更多>>

Nonlinear waves for a variable-coefficient modified Kadomtsev-Petviashvili system in plasma physics and electrodynamics: 《Communications in Theoretical Physics》2025年第1期23-34,共12页Guang-Mei Wei Yu-Xin Song Tian-Chi Xing Shu Miao; In this paper,a variable-coefficient modified Kadomtsev-Petviashvili(vcm KP)system is investigated by modeling the propagation of electromagnetic waves in an isotropic charge-free infinite ferromagnetic thin film and ...; 关键词：modified Kadomtsev-Petviashvili equation Lie symmetry optimal system nonlinear self-adjointness conservation law symbolic computation

Symplectic Self-adjointness of Infinite Dimensional Hamiltonian Operators被引量：1: 《Acta Mathematica Sinica,English Series》2018年第9期1473-1484,共12页Lin LI Alatancang CHEN De Yu WU; Supported by NNSF of China(Grant Nos.11761029 and 11561048);NSF of Inner Mongolia(Grant No.2015MS0116);Natural Science Foundation of Hetao College(Grant No.HYZY201702); Symplectic self-adjointness of infinite dimensional Hamiltonian operators is studied, the necessary and sufficient conditions are given. Using the relatively bounded perturbation, the sufficient conditions about sympl...; 关键词：Hamiltonian operator symplectic self-adjointness quadratic complement relative bound

Nonlinear Self-Adjointness, Conservation Laws and Soliton-Cnoidal Wave Interaction Solutions of(2+1)-Dimensional Modified Dispersive Water-Wave System被引量：4: 《Communications in Theoretical Physics》2017年第1期15-21,共7页夏亚荣辛祥鹏张顺利; Supported by National Natural Science Foundation of China under Grant Nos.11371293,11505090;the Natural Science Foundation of Shaanxi Province under Grant No.2014JM2-1009;Research Award Foundation for Outstanding Young Scientists of Shandong Province under Grant No.BS2015SF009;the Science and Technology Innovation Foundation of Xi’an under Grant No.CYX1531WL41; This paper mainly discusses the(2+1)-dimensional modified dispersive water-wave(MDWW) system which will be proved nonlinear self-adjointness. This property is applied to construct conservation laws corresponding to th...; 关键词：MDWW system nonlinear self-adjointness conservation laws truncated Painlev′e analysis CTE method interaction solutions

On symplectic self-adjointness of Hamiltonian operator matrices被引量：5: 《Science China Mathematics》2015年第4期821-828,共8页CHEN Alatancang JIN GuoHai WU DeYu; supported by National Natural Science Foundation of China(Grant Nos.11371185,11101200 and 11361034);Specialized Research Fund for the Doctoral Program of Higher Education of China(Grant No.20111501110001);Major Subject of Natural Science Foundation of Inner Mongolia of China(Grant No.2013ZD01);Natural Science Foundation of Inner Mongolia of China(Grant No.2012MS0105); Symplectic self-adjointness of Hamiltonian operator matrices is studied, which is important to symplectic elasticity and optimal control. For the cases of diagonal domain and off-diagonal domain, necessary and suffici...; 关键词：symplectic elasticity symplectic self-adjoint Hamiltonian operator matrix

Conservation laws of the generalized short pulse equation: 《Chinese Physics B》2015年第2期12-15,共4页张智勇陈玉福; supported by the National Natural Science Foundation of China(Grant Nos.11301012 and 11271363);the Excellent Young Teachers Program of North China University of Technology(Grant No.14058);the Doctoral Fund of North China University of Technology(Grant No.41); We show that the generalized short pulse equation is nonlinearly self-adjoint with differential substitution.Moreover,any adjoint symmetry is a differential substitution of nonlinear self-adjointness,and vice versa.Co...; 关键词：nonlinear self-adjointness with differential substitution adjoint symmetry conservation law

Inverse problem for Chaplygin’s nonholonomic systems被引量：4: 《Science China(Technological Sciences)》2011年第8期2100-2106,共7页LIU Chang LIU ShiXing GUO YongXin; supported by the National Natural Science Foundation of China (Grant Nos. 10932002, 10872084, and 10472040);the Outstanding Young Talents Training Fund of Liaoning Province of China (Grant No. 3040005);the Research Program of Higher Education of Liaoning Prov- ince, China (Grant No. 2008S098);the Program of Supporting Elitists of Higher Education of Liaoning Province, China (Grant No. 2008RC20);the Program of Constructing Liaoning Provincial Key Laboratory, China (Grant No. 2008403009); Chaplygin’s nonholonomic systems are familiar mechanical systems subject to unintegrable linear constraints, which can be reduced into holonomic nonconservative systems in a subspace of the original state space. The ...; 关键词：nonholonomic constraints inverse problems Birkhoff’s equations geonotopic transformations conditions of self-adjointness

On the Self-adjointness of the Product Operators of Two mth-Order Differential Operators on [0,+∞)被引量：5: 《Acta Mathematica Sinica,English Series》2004年第5期793-802,共10页JianYeAN JiongSUN; Supported by the National Natural Science Foundation of China(10261004); In the present paper,the self-adjointness of the product of two ruth-order differential operators on [0,+∞)is studied.By means of the construction theory of self-adjoint operators and matrix computation,we obtain a s...; 关键词：SELF-ADJOINTNESS PRODUCT Differential operators

On Self-Adjointness of the Product of Two Second-Order Differential Operators被引量：3: 《Acta Mathematica Sinica,English Series》1999年第3期375-383,385-386,共11页D. E. Edmunds; Supported by the Royal Society and the National Natural Science Foundation of China;the Regional Science Foundation of Inner Mongolia; In this paper, the problem of self-adjointness of the product of two differential operators is considered. A number of results concerning self-adjointness of the product L₂L₁ of two second-order ...; 关键词：Self-adjoint operator Differential operator Product of two differential operators

ON SELF-ADJOINTNESS OF SINGULAR DIRAC OPERATORS: 《Annals of Differential Equations》1998年第2期266-276,共11页徐言博曹之江; In this paper, applying the method of , we give the complete description of self adjointness of singular Dirac operators, their deficiency indices are supposed to be (2.2) and (1.1), respectively.; 关键词：deficiency index singular Dirac operators self ad jointness.

ON SELF-ADJOINTNESS OF THE PRODUCT OF TWO n-ORDER DIFFERENTIAL OPERATORS ON[a,b]被引量：4: 《Annals of Differential Equations》1998年第1期50-57,共8页孙炯安建业; Self adjointness of the product of differential operators on is studiedhere, using the construction theory of self adjoint operators, we give a sufficient and necessary condition of self adjointness problem.; 关键词：self adjointness PRODUCT differential operators

SELF-ADJOINTNESS