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2＋1维广义Calogero-Bogoyavlenskii-Schiff方程的无穷多对称及其约化
  • ISSN号：1000-3290
  • 期刊名称：《物理学报》
  • 时间：0
  • 分类：O572.33[理学—粒子物理与原子核物理;理学—物理] TN25[电子电信—物理电子学]
  • 作者机构：[1]宁波大学数学系,宁波315211
  • 相关基金：国家自然科学基金（批准号：10747141,10735030）;; 宁波自然科学基金（批准号：2007A610049,2008A610017）;; 国家重点基础研究发展计划（973）项目（批准号：2007CB814800）;; 宁波大学王宽诚教育基金;; 教育部长江学者与创新团队项目（批准号：IRT0734）资助的课题.
作者： 张焕萍[1], 陈勇[1], 李彪[1]
关键词： 无穷多对称, 截断对称, 对称约化, GCBS方程, infinitely many symmetries, truncated symmetries, symmetry reduction, generalized Calogero-Bogoyavlenskii-Schiff equation
中文摘要：

通过潘勒卫检验,得到了2＋1维广义Calogero-Bogoyavlenskii-Schiff方程可积的条件.在这个基础上,得到了GCBS方程的双线性形式,从而根据形式级数展开法得到了无穷多对称.根据这个对称可以得到GCBS方程的约化.

英文摘要：

Integrability condition of （2＋1）-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation are obtained by Painléve-test. Based on this condition and Painléve-test, the bilinear form of GCBS equation is found. Towards this bilinear form infinitely many formal series symmetries are found by the formal series symmetry method, the obtained symmetries are used to get the symmetry reductions of GCBS equation.

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南美白对虾精养塘浮游微藻动态研究
Fascaplysin通过诱导细胞凋亡抑制HeLa细胞体外增殖
κ-卡拉胶寡糖为配体的亲和探针制备方法的研究
香鱼假单胞菌SYBR Green Ⅰ荧光定量PCR检测方法的建立
香鱼LECT2基因的克隆及其组织表达差异
微小卡罗藻溶血活性的生长期特征及其溶血毒素种类分析
低温胁迫下大黄鱼肝脏蛋白质组双向电泳分析
岱衢洋和官井洋大黄鱼自交与杂交子代生长性能及杂交优势分析
大黄鱼肝脏蛋白质组双向电泳技术的建立及优化
环介导等温扩增技术与横向流动试纸条法快速检测鳗利斯顿氏菌的研究
pH突变对拟穴青蟹免疫因子的胁迫影响
出血症香鱼眼睛组织结构变化的观察
Symmetry and Exact Solutions of （2＋1）-Dimensional Generalized Sasa-Satsuma Equation via a Modified Direct Method
乌鳢诺卡氏菌病的组织病理和超微病理观察
鱼类诱食剂的研究进展
环境胁迫对微小卡罗藻溶血毒素分泌的影响
饲料中鱼油添加量对观赏性红鲫鱼生长和体色的影响
膨化食品中三聚氰胺及其类似物的UPLC-Q-TOF-MS分析
16种贝类脂肪酸和甾醇组成分析
A Note on Nonclassical Symmetries of a Class of Nonlinear Partial Differential Equations and Compatibility
大黄鱼鱼种阶段脂肪酸组成研究
光合膜膜脂在八种海洋硅藻中的分布研究
三疣梭子蟹溶藻弧菌疾病模型的构建
网箱养殖大黄鱼溃疡病的预报模型
香鱼优质受精卵和发眼卵的大量获取技术
Adomian Decomposition Method and Pade Approximants for Nonlinear Differential-Difference Equations
大弹涂鱼肝脏蛋白质双向电泳技术的建立及优化
浙江省桃花水母遗传多样性的RAPD分析
“黄水病”对拟穴青蟹免疫指标的影响
Kac-Moody-Virasoro Symmetry Algebra of （2＋1）-Dimensional Dispersive Long-Wave Equation with Arbitrary Order Invariant
大黄鱼4个家系的形态差异分析
虾蟹能量收支的特点及其影响因素
肿瘤与水通道蛋白的关系研究进展
宁波地木耳人工培养条件的研究
台风引起网箱内水体动荡模拟装置的制作与应用
香鱼嗜水气单胞菌染病后主要靶器官组织病理学观察
大黄鱼四家系肌肉营养成分差异及品质选育分析
Numerical Solutions of a New Type of Fractional Coupled Nonlinear Equations
眼斑拟石首鱼肌肉生长抑制素基因克隆及组织表达分析
Symmetry Reductions and Exact Solutions of Blaszak-Marciniak Four-Field Lattice Equation
Slit2在乳腺组织的表达与乳腺癌脑转移的关系
Characteristics of the tertiary egg membrane of cuttlefish Sepiella maindroni de Rochebrune
溶藻弧菌外膜蛋白OmpK基因表达和间接ELISA检测方法的初步建立
香鱼肝胰腺cDNA文库的构建和鉴定
环介导恒温扩增技术快速检测对虾白斑综合征病毒方法的建立
三疣梭子蟹LGBP基因的重组表达及微生物结合实验
地木耳人工培养最适光温条件及功能性成分Scytonemin的变化
4种重金属离子对多刺裸腹溞的联合毒性效应
恩诺沙星在三疣梭子蟹主要组织中的代谢动力学
超分支滚环扩增法检测传染性脾肾坏死病毒
铅、铬胁迫对大弹涂鱼血细胞遗传损伤的彗星实验检测
Binary Bell Polynomials, Bilinear Approach to Exact Periodic Wave Solutions of (2 l 1)-Dimensional Nonlinear Evolution Equations
披山岛海区浮游动物种类组成及数量分布特点
象山港养殖大黄鱼寄生新贝尼登虫成虫形态学和28S rDNA,ITS1分子鉴定
(鱼师)鱼诺卡氏菌SYBRGreenⅠ实时荧光定量PCR检测方法的建立与应用
On Camassa-Holm Equation with Self-Consistent Sources and Its Solutions
Signal response amplification of scale-free networks
Symmetries and Algebras of a (2+1)-Dimensional MKdV-Type System
Nonlinear Ramsey Interferometry of Fermi Superfluid Gases in a Double-Well Potential
An implicit relation between temperature and reaction rate in the SLFM
A new CKP hierarchy with two generalized time series and its reduction
Dark Parameterizations, Equivalent Partner Fields and Integrable Systems
Nonsensitive Homotopy-Pade Approach: Anharmonic Oscillators
On coupled KdV equations with self-consistent sources
Trans-scale mechanics: looking for the missing links between continuum and micro/nanoscopic reality
Two New Multi-component BKP Hierarchies
生物高分子的单分子物理研究
飞秒强激光场中的原子、分子——非微扰现象研究
Subgrid-scale contributions to Lagrangian time correlations in isotropic turbulence
Fermi超流气体在unitarity区域和Bose-Einstein凝聚区域的自俘获现象研究
费米超流气体的非线性Landau．Zener隧穿
费米超流气体的非线性Rosen-Zener隧穿
费米超流气体在幺正极限区域的非线性Ramsey干涉
费米-费米散射长度对费米超流气体在幺正极限区域的隧穿现象影响
铝丝阵Z箍缩辐射产生机理初步研究
一维Tonks-Girardeau原子气区域中的亮孤子解
三势阱中玻色-爱因斯坦凝聚的开关特性
超冷原子-分子转化动力学：受激拉曼绝热过程
Approximate Homotopy Symmetry Reduction Method： Infinite Series Reductions to Kawahara Equation
Finite Symmetry Transformation Groups and Some Exact Solutions to （2＋1）-Dimensional Cubic Nonlinear SchrSdinger Equantion
An Extension of Algorithm on Symbolic Computations of Conserved Densities for High-Dimensional Nonlinear Systems
Approximate homotopy similarity reduction for the generalized Kawahara equation via Lie symmetry method and direct method
A new （2＋1）-dimensional supersymmetric Boussinesq equation and its Lie symmetry study
An Elastic Interaction Model of Vortices
Symmetry Analysis and Similarity Solutions of a Resonant Davey-Stewartson System
Rosochatius Deformed Soliton Hierarchy with Self-Consistent Sources
固体灾变性破坏现象
Three types of generalized Kadomtsev-Petviashvili equations arising from baroclinic potential vorticity equation
Doppler instability of antispiral waves in discrete oscillatory reaction-diffusion media
标准扭转映射极小极大周期轨的椭圆性
Pre-image Variational Principle for Subadditive Sequence Functions
Expanded flux variability analysis on metabolic network of Escherichia coli
Stochasticity in the yeast mating pathway
Multiple attractors and generalized synchronization in delayed Mackey-Glass systems
Some Similarity Reduction Solutions to Two-Dimensional Incompressible Navier-Stokes Equation
Analytical Solitary Wave Solutions to a （3＋1）-Dimensional Gross-Pitaevskii Equation with Variable Coefficients
Approximate direct reduction method： infinite series reductions to the perturbed mKdV equation
Infinite series symmetry reduction solutions to the modified KdV-Burgers equation
Variable coefficient nonlinear systems derived from an atmospheric dynamical system
Dynamical instability and adiabatic evolution of the atom-homonuclear-trimer dark state in a condensate system
Kac-Moody-Virasoro Symmetry Algebra of （2＋1）-Dimensional Dispersive Long-Wave Equation with Arbitrary Order Invariant
野生与养殖光唇鱼肌肉营养组成与评价
香鱼嗜水气单胞菌人工染病后血液生理生化指标变化
刺激隐核虫LAMP检测方法的建立
香鱼雌核发育几种诱导方法的效果及子代的SSR、SRAP遗传标记分析
真鲷、黑鲷及其杂交子代的染色体构成与 AFLP 分析
香鱼背部脂肪腔的形态特征、显微结构及内容物成分分析
大黄鱼感染致病弧菌的检测及其病害的预测预警
拟穴青蟹血卵涡鞭虫病的组织病理和超微病理观察
香鱼成熟卵母细胞过熟进程中卵膜超微结构变化
Jackknife and Bootstrap Tests of the Composition Vector Trees
耦合Klein-Gordon方程组与Klein-Gordon方程的同宿轨道(英文)
Whole-genome based Archaea phylogeny and taxonomy： A composition vector approach
Approximate solution for the Klein-Gordon-SchrSdinger equation by the homotopy analysis method
Similarity Reductions of Nonisospectral BKP Equation
Symmetry and general symmetry groups of the coupled Kadomtsev-Petviashvili equation
Approximate Similarity Reduction for Perturbed Kaup-Kupershmidt Equation via Lie Symmetry Method and Direct Method
Oscillation sources and wave propagation paths in complex networks consisting of excitable nodes
The Qiao-Liu Equation with Self-Consistent Sources and Its Solutions＊
Oscillatory and anti-oscillatory motifs in genetic regulatory networks
期刊信息
  • 《物理学报》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国物理学会 中国科学院物理研究所
  • 主编：欧阳钟灿
  • 地址：北京603信箱(中国科学院物理研究所)
  • 邮编：100190
  • 邮箱：apsoffice@iphy.ac.cn
  • 电话：010-82649026
  • 国际标准刊号：ISSN：1000-3290
  • 国内统一刊号：ISSN：11-1958/O4
  • 邮发代号:2-425
  • 获奖情况:
  • 1999年首届国家期刊奖,2000年中科院优秀期刊特等奖,2001年科技期刊最高方阵队双高期刊居中国期刊第12位
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,荷兰文摘与引文数据库,美国工程索引,美国科学引文索引（扩展库）,英国科学文摘数据库,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:49876