云南高校图书馆联盟文献共享服务平台- PAINLEVE

PAINLEVE: 作品数：45被引量：62H指数：4; 导出分析报告; 相关领域：理学更多>>; 相关作者：斯仁道尔吉刘转玲孙炯王玲鲜大权更多>>; 相关机构：内蒙古大学内蒙古师范大学兰州商学院北京大学更多>>; 相关期刊：《杭州师范大学学报（自然科学版）》《西安建筑科技大学学报（自然科学版）》《量子电子学报》《数学年刊（A辑）》更多>>; 相关基金：国家自然科学基金内蒙古自治区自然科学基金国家教育部博士点基金国家重点基础研究发展计划更多>>

Painleve变换法构造一类广义非线性偏微分方程的扭波解: 《复旦学报（自然科学版）》2024年第6期695-702,共8页卢霖张超郭力嘉; 湖南省自然科学基金青年项目(2017JJ3044);湖南省自然科学基金面上项目(2018JJ2073);湖南省教育厅科学研究重点项目(24A0667)。; 关于广义的Benney方程和五阶KdV方程的精确解已有众多学者进行了研究,但大多侧重于寻找可积微分方程的亚纯解。本文基于Painleve变换法和多项式原理,直观地构造了不具有亚纯解结构的非线性不可积微分方程的精确解,并证明了该解是一种扭...; 关键词：Benney方程五阶KDV方程 Painleve变换法扭波解

Soliton resolution and asymptotic stability of N-solutions for the defocusing Kundu–Eckhaus equation with nonzero boundary conditions: 《Communications in Theoretical Physics》2024年第1期1-6,共6页Engui Fan Yanxi Zhang; supported by the National Science Foundation of China(Grant No.12271104,51879045)。; In this paper,we address interesting soliton resolution,asymptotic stability of N-soliton solutions and the Painleve asymptotics for the Kundu-Eckhaus(KE)equation with nonzero boundary conditions iq_(t)+q_(xx)-2(l|q|^...; 关键词：defocusing Kundu-Eckhaus equation Riemann-Hilbert problems steepest descent method soliton resolution asymptotic stability Painleve transcendents

一类广义变系数mKdV方程的Bcklund变换,Painlev检验及精确解（英文）被引量：1: 《应用数学》2018年第4期890-897,共8页沙安李连忠; Supported by the Jiangsu Province Natural Science Foundation of China Youth Fund(BK20170171); 本文研究一类广义变系数mKdV方程,基于齐次平衡法,对方程进行Bcklund变换,进而得到方程的精确解;对方程进行Painlev检验,证明方程的可积性.利用推广的CK方法,将广义变系数mKdV方程化为常系数方程,结合幂级数法得到方程的幂级数解.; 关键词：广义变系数mKdV方程 BACKLUND变换 Painleve检验幂级数法精确解

Painlevé-Kuratowski Stability of the Solution Sets to Perturbed Vector Generalized Systems: 《Acta Mathematicae Applicatae Sinica》2018年第2期304-317,共14页Zai-yun PENG Yong ZHAO Xin-min YANG; Supported by the National Natural Science Foundation of China(No.11431004.11471059.11401058);the Basic and Advanced Research Project of Chongqing(cstc2017jcyj AX0382,cstc2015shmszx30004);the Program for University Innovation Team of Chongqing(CXTDX201601022);the Education Committee Project Foundation of Bayu Scholar; In this paper, stability results of solution mappings to perturbed vector generalized system are studied. Firstly, without the assumption of monotonicity, the Painleve-Kuratowski convergence of global efficient soluti...; 关键词：Painleve-Kuratowski convergence global efficient solution sets efficient solution sets~ perturbedgeneralized systems

Multiple Darboux–B?cklund transformations via truncated Painleve′ expansion and Lie point symmetry approach被引量：4: 《Chinese Physics B》2018年第6期103-108,共6页Shuai-Jun Liu Xiao-Yan Tang Sen-Yue Lou; supported by the National Natural Science Foundation of China(Grant Nos.11675055,11175092,and 11205092);the Program from Shanghai Knowledge Service Platform for Trustworthy Internet of Things(Grant No.ZF1213);K C Wong Magna Fund in Ningbo University; For a given truncated Painleve′ expansion of an arbitrary nonlinear Painleve′ integrable system, the residue with respect to the singularity manifold is known as a nonlocal symmetry, called the residual symmetry, wh...; 关键词：residue symmetry multiple Darboux-Baicklund transformation Lie point symmetry approach

一个KP型方程的新型Darboux变换: 《数学的实践与认识》2018年第10期185-190,共6页包霞斯仁道尔吉扎其劳; 国家自然科学基金(11261037,11361040);内蒙古自然科学基金(2014MS0111); KP型方程是物理上有重要意义的1＋1维和2＋1维的几个非线性发展方程的统一和推广．基于KP型方程的Lax对的Painleve展开，给出了KP型方程的一个新型Darboux变换，并给出证明．然后适当选取原方程的平凡解，利用新型Darboux变换求出方程...; 关键词：KP型方程 DARBOUX变换 Painleve展开精确解

A Super mKdV Equation： Bosonization, Painlevé Property and Exact Solutions被引量：3: 《Communications in Theoretical Physics》2018年第4期343-346,共4页Bo Ren Sen-Yue Lou; Supported by the National Natural Science Foundation of China under Grant Nos.11775146,11435005,and 11472177;Shanghai Knowledge Service Platform for Trustworthy Internet of Things under Grant No.ZF1213;K.C.Wong Magna Fund in Ningbo University; The symmetry of the fermionic field is obtained by means of the Lax pair of the mKdV equation. A new super mKdV equation is constructed by virtue of the symmetry of the fermionic form. The super mKdV system is changed...; 关键词：super mKdV equation bosonization approach PAINLEVE exact solutions

PROPERTIES OF DIFFERENCE PAINLEV IV EQUATIONS被引量：1: 《Acta Mathematica Scientia》2017年第6期1830-1840,共11页蓝双婷陈宗煊; supported the Natural Science Foundation of Guangdong Province in China(2016A030310106,2014A030313422);Training Plan Fund of Outstanding Young Teachers of Higher Learning Institutions of Guangdong Province of China(Yq20145084602); In this paper, we investigate difference Painleve IV equations, and obtain some results on Nevanlinna exceptional values of transcendental meromorphic solutions w（z） with finite order, their differences △w（z） ...; 关键词：difference Painleve IV equation Nevanlinna exceptional value fixed point

Residual symmetry, interaction solutions, and conservation laws of the(2+1)-dimensional dispersive long-wave system被引量：9: 《Chinese Physics B》2017年第3期207-214,共8页夏亚荣辛祥鹏张顺利; Project supported by the National Natural Science Foundation of China(Grant Nos.11371293 and 11505090);the Natural Science Foundation of Shaanxi Province,China(Grant No.2014JM2-1009);the Research Award Foundation for Outstanding Young Scientists of Shandong Province,China(Grant No.BS2015SF009);the Science and Technology Innovation Foundation of Xi’an,China(Grant No.CYX1531WL41); We explore the （2＋l）-dimensional dispersive long-wave （DLW） system. From the standard truncated Painleve expansion, the Baicklund transformation （BT） and residual symmetries of this system are derived. The intr...; 关键词：residual symmetry truncated Painleve expansion interaction solutions conservation law

Higher Order Teodorescu Operators in Superspace: 《Journal of Mathematical Research with Applications》2015年第6期643-652,共10页Hongfen YUAN Yuying QIAO; Supported by the Tian Yuan Special Funds of the National Natural Science Foundation of China(Grant No.11426082);the National Natural Science Foundation of China(Grant No.10771049);the Science Foundation of Hebei Province(Grant No.A2015402034); We investigate some fundamental properties of the higher order Teodorescu operators which are defined by the high order Cauchy-Pompeiu formulas in superspace. Moreover,we get an expansion of Almansi type for k-supermo...; 关键词：superspace Teodorescu operator k-supermonogenic functions Morera type theorem Painleve theorem uniqueness theorem

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