位置：成果数据库 > 期刊 > 期刊详情页
Riemann theta function periodic wave solutions for the variable-coefficient mKdV equation
  • ISSN号：1674-1056
  • 期刊名称：《中国物理B：英文版》
  • 时间：0
  • 分类：O173[理学—数学;理学—基础数学] O186.1[理学—数学;理学—基础数学]
  • 作者机构：[1]Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China, [2]Department of Mathematics, Anhui University, Hefei 230601, China
  • 相关基金：Project supported by the National Natural Science Foundation of China （Grant Nos. 10771196 and 10831003） and the Innovation Project of Zhejiang Province of China （Grant No. T200905）.
作者： 张翼[1], 程智龙[1], 郝晓红[2]
关键词： THETA函数, MKDV方程, 周期波解, 变系数, KORTEWEG-DE, 黎曼, 双线性形式, 孤立波解, variable-coefficient mKdV equation, Riemann theta function, soliton solutions, periodic wave solutions
中文摘要：

<正>In this paper,a variable-coefficient modified Korteweg-de Vries(vc-mKdV) equation is considered.Bilinear forms are presented to explicitly construct periodic wave solutions based on a multidimensional Riemann theta function,then the one and two periodic wave solutions are presented,and it is also shown that the soliton solutions can be reduced from the periodic wave solutions.

英文摘要：

In this paper, a variable-coefficient modified Korteweg-de Vries （vc-mKdV） equation is considered. Bilinear forms are presented to explicitly construct periodic wave solutions based on a multidimensional Riemann theta function, then the one and two periodic wave solutions are presented~ and it is also shown that the soliton solutions can be reduced from the periodic wave solutions.

同期刊论文项目
常微分方程与动力系统的分支理论和应用
期刊论文 100
多重Hopf分支、周期映射和孤立子方程精确解研究
期刊论文 36 著作 2
同项目期刊论文
New Results on the Study of Zq-Equivariant Planar Polynomial Vector Fields
Bifurcation of limit cycles and center problem for a class of cubic system
A multiple exp-function method for nonlinear differential equations and its application
The geometric property of soliton solutions for the integrable KdV6 equations
Component-trace identities for Hamiltonian structures
Positons, negatons and complexitons of the mKdV equation with non-uniformity terms
The qualitative analysis of a class of planar Filippov systems
Complete study on a bi-center problem for the Z2 equivariant cubic vector fields
New study on the center problem and bifurcations of limit cycles for the Lyapunov systems (I)
New study on the center problem and bifurcations of limit cycles for the Lyapunov systems (II)
Center problem and multipl Hopf bifurcation for the Z5 equaivariant planar polynomial vector fields
The long wave limiting of the discrete nonlinear evolution equations
Exact M/W-shape solitary wave solutions determined by a singular traveling wave equation
Exact solutions to a coupled modified KdV equations with non-uniformity terms
Exact dark soliron solution of the generalized nonlinear schr odinger equation
A note on "The integrable KdV6 equation: Multiple soliton solutions and multiple singular soliton so
Exact loop solutions, cusp solutions, solitary wave solutions and periodic wave solutions for the sp
Center and isochronous center problems for quasi analytic systems
Exact travelling wave solutions in a nonlinear elastic rod equation
The exact solution and integrable properties to the variable-coefficient modified Korteweg–de Vries
On the nonisospectral modified Kadomtsev–Peviashvili equation
耦合离散BVP振子的混沌现象
一类Kolmogorov捕食系统的定性分析
一类七次多项式系统高次奇点的极限环分支与拟等时中心
一类具退化奇点的五次系统中心条件及极限环分支
耦合离散BVP振子中的分支现象
一类Z8-等变对称七次系统的极限环分枝
差分方程x（n＋1）=1／（xn＋x（n＋1））的动力学分析
一类具功能反应的食饵-捕食系统定性分析
一类三次幂零奇点的中心焦点判定与极限环分支
KdV方程矩阵形式的精确解
某一类控制系统中发生的指数偏差现象
Extreme Growth Rates of Periodic Orbits in Flows
Riemann theta function periodic wave solutions for the variable- coefficient mKdV equation
Integrable discretizations and soliton solution of KdV and mKdV equations
Exact travelling wave solutions to two integrable KdV6 equations
Exact solitary wave and quasiperiodic wave solutions for four fifthorder nonlinear wave equations
Exact traveling wave solutions and bifurcations in a nonlinear elastic rod equation
A new Chebyshev family with applications to Abel equations
A note on “The integrable KdV6 equation: Multiple soliton solutions and multiple singular soliton so
Exact Travelling Wave Solutions and Their Bifurcations for the KudryashovSinelshchikov Equation
Metric entropy and the number of periodic points
On the travelling wave solutions for a nonlinear diffusionconvection equation: dynamical system appr
Lyapuniv exponents of hyperbolic measures and hyperbolic periodic orbits
一个多参数的Hilbert型积分不等式
Center problem and multipl Hopf bifurcation for the Z6 equaivariant planar polynomial vector fields
A multiple exp- function method for nonlinear differential equations and its application
Hirota bilinear equations with linear subspaces of solutions
Exact heteroclinic cycle family and quasi-periodic solutions for the three-dimensional systems deter
Bifurcations and exact travelling wave solutions of the generalized twocomponent CamassaHolm equatio
Generalized Wronskian solutions for the (3 + 1)-dimensional Jimbo– Miwa equation
Uniqueness of limit cycles for Li\'enard differential equations of degree four
Knotted periodic solutions of a linear non-autonomous system and some related three- dimensional flo
Abelian integrals and limit cycles
Wronskian and Grammian Solutions for (2 + 1)-Dimensional Soliton Equation
Korteweg–de Vries Equation (KdV), History, Exact N- Soliton Solutions and Further Properties
Zero entropy versus infinite entropy
On the Hopf-zero bifurcation of the Michelson system
Homoclinic manifolds, center manifolds and exact solutions of fourdimensional travelling wave system
The embedding flows of C^\infty hyperbolic diffeomorphisms
Explicit soliton solutions of the Kaup-Kupershmidt equation through the dynamical system approach
Generalized rational first integrals of analytic differential systems
Bifurcation in a ratio-dependent predator-prey model with prey harvesting
The 16th Hilbert problem on algebraic limit cycles, Journal of Differential Equations
Global structure of quaternion polynomial differential equations
Solitary wave and chaotic behavior of travelling wave solutions for the coupled KdV equations
On nonlinear wave equations with breaking loop-solutions
Embedding smooth diffeomorphisms in flows
Soliton resonance of the NI-BKP equation
Non-uniformly hyperbolic periodic points and uniform hyperbolicity for $C^1$diffeomorphisms
New results on the study of $Z_q$-equivariant planar polynomial vector fields
Quadratic Perturbations of a Quadratic Reversible Lotka-Volterra System,
Bifurcations of traveling wave solutions of an integrable equation
Bifurcations and parametric representations of traveling wave solutions for the $(2+1)-$dimensional
On Dirac physical measures for transitive flows
Exact Dark Soliton, Periodic Solutions and Chaotic Dynamics in a Perturbed Generalized Nonlinear Sch
B?cklund transformations and soliton solutions for the KdV6 equation
Exact homoclinic orbits and heteroclinic families for the thirdorder system given by Chazy XI (N=3)
The exact bounds on the number of zeros of complete hyperelliptic integrals of the ?rst kind
Exact M/W-shape wave solutions determined by a singular traveling wave equation
Approximation properties on invariant measure and Oseledec splitting in non-hyperbolic systems
Exact dark soliton solution of the generalized nonlinear Schrdinger equation
Family of nonlinear wave equations which yield loop solutions and solitary wave solutions
On the Breaking Property for the Second Class of Singular Nonlinear Traveling Wave Equations
Limit cycles of differential systems via the averaging methods
Chaotic motion and Hamiltonian dynamics of a prestressed incompressible elastic plate due to resonan
A class of exact solutions of the generalized nonlinear Schrodinger equation
Exact loop solution,cusp solutions, solitary wave solutions and periodic wave solutions for the spec
The cyclicity of period annulus of a quadratic reversible Lotka-Volterra system, Nonlinearity
Resonance of solitons in a coupled higher-order Ito equation
Bounded complexity function versus unbounded complexity function
Canard Limit Cycles for Predator-Prey Systems with Holling Types of Functional Response
Exact Travelling Wave Solutions and Their Bifurcations for the generalized PochhammerChree equations
Exact solutions and Painlevé analysis of a new (2+1)- dimensional generalized KdV equation
Lower bounds for the Hilbert number of polynomial systems
Exstence of exact families of travelling wave solutions for the sixth-order Ramani equation and coup
Darboux polynomials and rational first integrals of the generalized Lorenz systems
Dominated splittings and Pesin formula
Deviation property of periodic measures in C1 nonuniformly hyperbolic systems with limit domination
两非线性波方程真圈解的存在性和破缺性质
Existence and breaking property of real loop-solutions of two nonlinear wave equations
The Travelling Wave Solutions for （2＋1）-dimensional AKNS Equation
弱化希尔伯特第16问题及其研究现状
Binary Bell polynomial application in generalized （2＋1）-dimensional KdV equation with variable coefficients
EXACT DARK SOLITON AND ITS PERSISTENCE IN THE PERTURBED （2＋1）-DIMENSIONAL DAVEY-STEWARTSON SYSTEM
期刊信息
  • 《中国物理B：英文版》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国物理学会和中国科学院物理研究所
  • 主编：欧阳钟灿
  • 地址：北京 中关村 中国科学院物理研究所内
  • 邮编：100080
  • 邮箱：
  • 电话：010-82649026 82649519
  • 国际标准刊号：ISSN：1674-1056
  • 国内统一刊号：ISSN：11-5639/O4
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 被引量:406