组合KdV方程的显式精确解

来源 :物理学报 | 被引量 : 0次 | 上传用户：allyev

【摘要】

：

借助计算机代数系统Mathematica,利用双曲函数法找到了组合KdV方程(Combined KdV Equation)的精确孤立波解,包括钟型孤立波解和扭结型孤立波解.在此基础上又对双曲函数法的思

【作者】

：

石玉仁吕克璞段文山洪学仁赵金保杨红娟

【机构】

：

西北师范大学物理与电子工程学院

【出处】

：

物理学报

【发表日期】

：

2004年期

【关键词】

：

组合KdV方程双曲函数法孤立波解精确解

下载到本地 , 更方便阅读

下载此文赞助VIP

声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架

论文部分内容阅读

借助计算机代数系统Mathematica,利用双曲函数法找到了组合KdV方程(Combined KdV Equation)的精确孤立波解,包括钟型孤立波解和扭结型孤立波解.在此基础上又对双曲函数法的思想进行了推广,从而获得了其更多的显式精确解,包括间断型激波解和指数函数型解.这种方法也适用于求解其他非线性发展方程(组).

其他文献

A pH-sensitive Modified Polyacrylamide Hydrogel

A pH-sensitive modified polyacrylamide hydrogel was prepared by two steps and the modified polyacrylamide was characterized by 1HNMR spectrum. The surface morph

期刊

PolyacrylamidehydrogelpH-sensitive

NUMERICAL SIMULATION OF SKIMMING FLOW OVER MILD STEPPED CHANNEL

Numerical simulation of stepped channel flow was conducted using turbulence models based on the VOF technique. Stepped channel flow is a complicated air-water t

期刊

numerical simulationskimming flowstepped channelVolume Of Fluid (VOF) techniq

Two-Dimensional Rossby Waves: Exact Solutions to Petviashvili Equation

The two-dimensional (2D) nonlinear Rossby waves described by the Petviashvili equation, which has been invoked as an ageostrophic extension of the barotropic qu

期刊

Petviashvili equation2D Rossby wavesJacobi elliptic function

A Solvable Decorated Ising Lattice Model

A decoratedlattice is suggested and the Ising model on it with three kinds of interactions K1, K2, and K3 is studied. Using an equivalent transformation, the sq

期刊

Ising modelsquare decorated latticecritical pointuniversality class

Synthesis of Highly Branched Poly(ε-caprolactone) by Self-condensing Atom Transfer Radical Polymeriz

Branched poly(ε-caprolactone) was synthesized by self-condensing atom transfer radical polymerization of macroinimer, α-acryloyoxy-ω-2-bromopropionyloxy poly

期刊

Self-condensing vinyl polymerizationatom transfer radical polymerizationbranch

Numerical Analysis of Finite Deformation of Overbroken Rock Mass in Gob Area Based on Euler Model of

The overbroken rock mass of gob areas is made up of broken and accumulated rock blocks compressed to some extent by the overlying strata. The bearing pressure o

期刊

overbroken rock massplastically finite deformationmethod of control volumebea

力约束法在人体起跳动力学数值仿真中的应用

为描述人体步行、弹跳等运动过程中柔性鞋底和硬地面之间的接触柔性、微滑和摩擦特性,提出一个多点柔性接触模型,将鞋底与地面的单面几何约束转化为力约束.针对一个15刚体人

期刊

柔性接触摩擦人体动力学

自聚焦共焦式微小内腔体探测技术

系统用自聚焦透镜代替共焦扫描显微镜中的聚焦透镜 ,将自聚焦透镜体积小的特点与共焦显微技术的轴向高分辨力和绝对位置跟踪特性有机结合 ,具有测头微小型化 ,高的轴向分辨力

期刊

物理光学共焦三维轮廓检测术自聚焦透镜高分辨力非接触测量

Synthesis of a Novel UV Curable Aqueous Dispersion Polyurethane PDHA-PEDA-PU and the Properties of C

A novel ultraviolet (UV) curable aqueous dispersion polyurethane PDHA-PEDA-PU was synthesized based on isophorone diisocyanate (IPDI), polyester dihydric alcoho

期刊

UV curableaqueous dispersionpolyurethane

Heat-shocked tumor cell lysate-pulsed dendritic cells induce effective anti-tumor immune response in

AIM: To study whether heat-shocked tumor cells could enhance the effect of tumor cell lysate-pulsed dendritic cells (DCs) in evoking anti-tumor immune response

期刊

Heat shockTumorDendritic cellImmune

组合KdV方程的显式精确解

其他学术论文