位置：成果数据库 > 期刊 > 期刊详情页
Interactions Between Solitons and Cnoidal Periodic Waves of the Boussinesq Equation
  • ISSN号：0253-6102
  • 期刊名称：Communications in Theoretical Physics
  • 时间：2013.10.15
  • 页码：387-390
  • 分类：O175.29[理学—数学;理学—基础数学] P731.22[天文地球—海洋科学]
  • 作者机构：[1]Faculty of Science, Ningbo University, Ningbo 315211, China, [2]Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China
  • 相关基金：Supported by the National Natural Science Foundations of China under Grant No. 11175092, Scientific Research Fund of Zhejiang Provincial Education Depaxtment under Grant No. Y201017148, and K.C. Wong Magna Fund in Ningbo University
  • 相关项目：达布变换，非局域对称及其局域化
作者： 杨铎|楼森岳|余炜沣|
关键词： BOUSSINESQ方程, 相互作用, 孤子, PAINLEVé分析, 周期波, 非线性物理模型, 非线性激发, 余弦, interaction, soliton, cnoidal periodic waves, Boussinesq equation
中文摘要：

The Boussinesq equation is one of important prototypic models in nonlinear physics.Various nonlinear excitations of the Boussinesq equation have been found by many methods.However,it is very difcult to find interaction solutions among diferent types of nonlinear excitations.In this peper,two equivalent very simple methods,the truncated Painlev′e analysis and the generalized tanh function expansion approaches,are developed to find interaction solutions between solitons and any other types of Boussinesq waves.

英文摘要：

The Boussinesq equation is one of important prototypic models in nonlinear physics. Various nonlinear excitations of the Boussinesq equation have been found by many methods. However, it is very difficult to find interaction solutions among different types of nonlinear excitations. In this peper, two equivalent very simple methods, the truncated Painleve analysis and the generalized tanh function expansion approaches, are developed to find interaction solutions between solitons and any other types of Boussinesq waves.

同期刊论文项目
达布变换，非局域对称及其局域化
期刊论文 76 著作 1
同项目期刊论文
Dirac multimode ket-bra operators' Q-ordered and B-ordered integration theory and general squee
Recent development in symmetries and integrability of difference equations
Interactions among Periodic Waves and Solitary Waves of the (2+1)-Dimensional Konopelchenko-Dubrovsk
From Nothing to Something: Discrete Integrable Systems
An integrable nonlinear diffusion hierarchy with a two-dimensional arbitrary function
A direct algorithm of one-dimensional optimal system for thegroup invariant solutions. J. Math. Phy
Interactions Between Solitons and Cnoidal Periodic Waves of the(2+1)-Dimensional Konopelchenko–Dubro
Operator-ordering identities for mutual transformation of power of coordinate-momentum operators obt
Quantum mechanical operator realization of the Stirling numbers theory studied by virtue of the oper
Quantum mechanics mixed state representation
A new optical field state as an output of diffusion channel when the input being number state
Studying bi-partite entangled state representations via the integration over ket-bra operators in -o
Binomial theorems related to two-variable Hermite polynomials and its application in quantum optics
Binomial theorem involving Hermite polynomials and negative-binomial theorem involving Laguerre poly
Dirac multimode ket-bra operators' Q-ordered and B-ordered integration theory and general sq
Infinitely many nonlocal symmetries and conservation laws for the (1+1)-dimensional Sine–Gordon equa
Consistent Riccati Expansion for Integrable Systems
Recentdevelopment in symmetries and integrability of difference equations
FromNothing to Something: Discrete Integrable Systems
CTESolvability and Exact Solution to the Broer-Kaup System
Interactionsamong Periodic Waves and Solitary Waves of the (2+1)-DimensionalKonopelchenko-Dubrovsky
Demonstration of the Gunnarsson-Lundqvist theorem and the multiplicity of potentials for excited sta
Constraints and Soliton Solutions for KdV Hierarchy and AKNS Hierarchy
Backlund Transformations and Interaction Solutions of the Burgers Equation
Approximate solutions of nonlinear PDEs by the invariant expansion
Nonlocalization of Nonlocal Symmetry and Symmetry Reductions of the Burgers Equation
Vortices and vortex sources of multiple vortex interaction systems
Wave function for time-dependent harmonically confined electrons in a time-dependent electric field
Effects of anisotropy and magnetic fields on the specific heat of a quasi-two-dimensional Boltzmann
CTE Solvability, Nonlocal Symmetries and Exact Solutions of Dispersive Water Wave System
Fermionization of Sharma-Tasso-Olver system
Integrable KP Coupling and Its Exact Solution
Exact Solutions of Supersymmetric KdV-a System via Bosonization Approach
Doubly periodic patterns of modulated hydrodynamic waves: exact solutions of the Davey-Stewartson sy
KP方程的不同类型非线性波的相互作用
KdV方程的Nanopteron解
Dressed Dark Solitons of the Defocusing Nonlinear Schrodinger Equation
Interactions between solitons and other nonlinear Schrodinger waves
Darboux Transformations via Lie Point Symmetries: KdV Equation
ReciprocalTransformations of Two Camassa Holm Type Equations. Communications inTheoretical Physics.
Dual Hierarchies of a Multi-ComponentCamassa Holm System
Rogue wave solutions of AB system.
Damping Law of Photocount Distribution in a Dissipative Channel
Fermionization of Sharma- Tasso-Olver System
Bosonization of supersymmetric KdV equation
Bosonization, singularity analysis, nonlocal symmetry reductions and exact solutions of supersymmetr
Equivalent and nonequivalent barotropic modes for rotating stratified flows
Generalized symmetries of an script N = 1 supersymmetric Boiti-Leon-Manna-Pempinelli system
CRE Method for Solving mKdV Equation and New Interactions Between Solitons and Cnoidal Periodic Wave
Classification of Dark Modified KdV Equation
Localization of Nonlocal Symmetries and Symmetry Reductions of Burgers Equation
CTE Solvability,Exact Solutions and Nonlocal Symmetries of the Sharma–Tasso–Olver Equation
3+1维Burgers方程的Painlevé性质和B(a)cklund变换及严格解
Painlev Property, Bcklund Transformations and Rouge Wave Solutions of (3+1)-Dimensional Burgers Equation
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
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,美国剑桥科学文摘,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
  • 被引量:342