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Binary Bell Polynomials, Bilinear Approach to Exact Periodic Wave Solutions of (2 l 1)-Dimensional Nonlinear Evolution Equations
  • ISSN号：0253-6102
  • 期刊名称：《理论物理通讯：英文版》
  • 时间：0
  • 分类：O411.1[理学—理论物理;理学—物理] O174.14[理学—数学;理学—基础数学]
  • 作者机构：[1]Software Engineering institute of East China Normal University Shanghai Key Laboratory of Trustworthy Computing, Shanghai 200062, China, [2]Nonlinear Science Center and Department of Mathematics, Ningbo University, Ningbo 315211, China
  • 相关基金：Supported by the National Natural Science Foundation of China under Grant Nos. 11075055, 61021004, 10735030, Shanghai Leading Academic Discipline Project under Grant No. B412, Program for Changjiang Scholars and Innovative Research Team in University （IRT0734）
作者： 王云虎[1], 陈勇[1,2]
关键词： 非线性演化方程, 周期波解, 多项式, 二进制, 双线性方法, 贝尔, 双线性形式, KdV方程, binary Bell polynomial, Riemann theta function, periodic wave solution, asymptotic property
中文摘要：

<正>In the present letter,we get the appropriate bilinear forms of(2 + l)-dimensionaI KdV equation,extended (2+1)-dimensional shallow water wave equation and(2 +1)-dimensional Sawada-Kotera equation in a quick and natural manner,namely by appling the binary Bell polynomials.Then the Hirota direct method and Riemann theta function are combined to construct the periodic wave solutions of the three types nonlinear evolution equations.And the corresponding figures of the periodic wave solutions are given.Furthermore,the asymptotic properties of the periodic wave solutions indicate that the soliton solutions can be derived from the periodic wave solutions.

英文摘要：

In the present letter, we get the appropriate bilinear forms of （2 ＋ 1）-dimensional KdV equation, extended （2 ＋ 1）-dimensional shallow water wave equation and （2 ＋ 1）-dimensional Sawada -Kotera equation in a quick and natural manner, namely by appling the binary Bell polynomials. Then the Hirota direct method and Riemann theta function are combined to construct the periodic wave solutions of the three types nonlinear evolution equations. And the corresponding figures of the periodic wave solutions are given. Furthermore, the asymptotic properties of the periodic wave solutions indicate that the soliton solutions can be derived from the periodic wave solutions.

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Symmetry analysis and explicit solutions of the （3＋1）-dimensional baroclinic potential vorticity equation
A new （2＋1）-dimensional supersymmetric Boussinesq equation and its Lie symmetry study
An Elastic Interaction Model of Vortices
Similarity Reductions of Nonisospectral KP Equation by a Direct Method
龙须菜（Gracilaria lemaneiformis）高温逆境代谢产物的GC-MS分析
浏览器模式电子海图快速显示的研究
船舶水下垂直吊放系统动态响应
随机波浪下遥控潜水器强非线性耦合空间运动与缆索安全性研究
非线性载荷对船中弯矩响应影响
Fe^3＋胁迫对假微型海链藻中性脂累积及DGAT表达的影响
高效液相色谱-三重四级杆质谱分析海洋甲壳动物淋巴和肌肉中的20-羟基蜕皮酮
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
Variable coefficient nonlinear systems derived from an atmospheric dynamical system
乳腺癌细胞Notch1蛋白表达及其与紫杉醇敏感性的关系
Backlund Transformations and Explicit Solutions of （2d-1）-Dimensional Barotropic and Quasi-Geostrophic Potential Vorticity Equation
几种菱形藻及其近缘种分类界定的比较研究
颗石藻藻源性二甲基硫丙酸（DMSP）在致死卤虫时的作用检测
几种理化因子对刺激隐核虫包囊及幼虫活力的影响
利用QqQ-MS碰撞能量自动优化功能确定磷脂脂肪酰基位置
5种微藻对4种滩涂贝类稚贝生长的影响
香鱼抗凝血酶基因（AT）cDNA的克隆、序列分析及组织表达特征
大黄鱼肌肉生长抑制素基因微卫星序列多态性分析
野生与养殖三疣梭子蟹营养品质分析及比较
香鱼成熟卵母细胞过熟进程中卵膜结构变化的扫描电镜观察
一小型水池中浮游生物数量动态与桃花水母消长的关系
养殖乌鳢诺卡氏菌病及其病原研究
镉胁迫下大弹涂鱼肝脏蛋白质组双向电泳分析
养殖大黄鱼病原弧菌多重PCR检测技术的建立和应用
对虾养殖塘浮游植物的动态变化
超高效液相色谱-四极杆-飞行时间质谱对混合光合作用糖脂的分析
光唇鱼染色体核型分析
浙江省桃花水母18S rRNA基因序列分析及物种鉴定
液相色谱-电喷雾-四级杆-飞行时间质谱法分析琼胶寡糖
养殖大黄鱼在自然海区降温不同阶段抗氧化水平及血清酶活性的变化
抑制剂BD2对PKA与PKCβⅡ的抑制选择性研究
Cloning the Dmrtl and DmrtA2 genes of ayu （Plecoglossus altivelis） and mapping their expression in adult, larval, and embryonic stages
香鱼凝血因子X基因表达与鳗利斯顿氏菌感染的相关性
三疣梭子蟹脂多糖-β-1,3-葡聚糖结合蛋白基因的克隆及表达模式分析
香鱼hepcidin基因的克隆、序列分析及组织表达特征
卵形鲳鲹不同组织器官脂肪酸组成含量的比较
海洋微藻中C3羟基甾醇TMS衍生物EI源质谱规律研究
产油微藻的筛选及中性脂动态积累过程的检测
文蛤（Meretrix meretrix）C-型凝集素基因的分子克隆及表达分析
镉胁迫对大弹涂鱼（Boleophthalmus pectinirostris）血细胞遗传损伤的研究
鱼类致病鰤鱼诺卡氏菌(Nocardiaseriolae)的LAMP检测技术建立与应用
日本鬼鲉[Inimicusjaponicus)线粒体Cytb和COⅡ基因的克隆及鲉形目系统发育分析
可口革囊星虫（Phascolosomaesculenta）胚胎及幼虫发育研究
低温选择大黄鱼（Pseudosciaena crocea）的肝脏蛋白质组双向电泳分析
网箱养殖大黄鱼（Pseudosciaena crocea）疾病与环境因子的关系
网箱养殖海区底泥产芽孢细菌多样性
三种致病弧菌感染对大黄鱼非特异性免疫功能的影响
大黄鱼溃疡病的组织病理和超微病理研究
温度胁迫对三疣梭子蟹血清中非特异性免疫因子的影响
3种致病弧菌感染对大黄鱼7种酶活性的影响
美国红鱼肾肿大症的组织病理和超微病理分析
大黄鱼（Pseudosciaena crocea）内脏白点病的组织病理和超微病理分析
3种致病弧菌感染对大黄鱼血液生化指标的影响
患诺卡氏菌病的大黄鱼几种主要组织的酶活力变化分析
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
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
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
期刊信息
  • 《理论物理通讯：英文版》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中科院理论物理所 中国物理学会
  • 主编：孙昌浦
  • 地址：北京2735邮政信箱 中国科学院理论物理研究所编辑部
  • 邮编：100190
  • 邮箱：ctp@itp.ac.cn
  • 电话：010-62551495 62541813 62550630
  • 国际标准刊号：ISSN：0253-6102
  • 国内统一刊号：ISSN：11-2592/O3
  • 邮发代号:
  • 获奖情况:
  • 首届国家期刊奖,中国科学院优秀期刊特别奖,国家期刊奖百种重点期刊,中国期刊方阵“双高”期刊
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  • 被引量:342