Symbolic computation on integrable properties of a variable-coefficient Korteweg-de Vries equation from arterial mechanics and Bose-Einstein condensates

Li J; Xu T; Meng XH; Yang ZC; Zhu HW; Tian B

首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Symbolic computation on integrable properties of a variable-coefficient Korteweg-de Vries equation from arterial mechanics and Bose-Einstein condensates

【24h】

Symbolic computation on integrable properties of a variable-coefficient Korteweg-de Vries equation from arterial mechanics and Bose-Einstein condensates

机译：利用动脉力学和Bose-Einstein凝聚物对变系数Korteweg-de Vries方程的可积性质进行符号计算

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

Applicable in arterial mechanics, Bose gases of impenetrable bosons and Bose - Einstein condensates, a variable-coefficient Korteweg - de Vries (vcKdV) equation is investigated in this paper with symbolic computation. Based on the Ablowitz - Kaup - Newell - Segur system, the Lax pair and auto-Backlund transformation are constructed. Furthermore, the nonlinear superposition formula and an infinite number of conservation laws for the vcKdV equation are also derived. Special attention is paid to the analytic one- and two-solitonic solutions with their physical properties and possible applications discussed.

机译：本文通过符号计算研究了不可渗透的玻色子的玻色气体和玻色-爱因斯坦凝聚物的可变系数Korteweg-de Vries（vcKdV）方程。基于Ablowitz-Kaup-Newell-Segur系统，构建了Lax对和自动Backlund变换。此外，还推导了vcKdV方程的非线性叠加公式和无穷守恒律。特别关注解析的单孤子和双孤子解决方案及其物理性质和可能的应用。

著录项

来源
《Physica Scripta: An International Journal for Experimental and Theoretical Physics》 |2007年第3期|共7页
作者
Li J; Xu T; Meng XH; Yang ZC; Zhu HW; Tian B;
展开▼
作者单位

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类物理学;
关键词
NONLINEAR SCHRODINGER-EQUATION; TRAVELING-WAVE SOLUTIONS; TAPERED ELASTIC TUBE; ION-ACOUSTIC-WAVES; BACKLUND TRANSFORMATION; EVOLUTION-EQUATIONS; CONSERVATION-LAWS; OPTICAL-FIBERS; SOLITARY WAVES; DUSTY PLASMA;

机译：非线性Schrodinger方程;行波解;锥形弹性管;离子声波;回波变换;演化方程;守恒律;光纤;孤波;尘埃等离子体;

相似文献

外文文献
中文文献
专利

1. Symbolic computation on integrable properties of a variable-coefficient Korteweg-de Vries equation from arterial mechanics and Bose-Einstein condensates [J] . Li J, Xu T, Meng XH, Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2007,第3期

机译：利用动脉力学和Bose-Einstein凝聚物对变系数Korteweg-de Vries方程的可积性质进行符号计算
2. Interactions of breathers and solitons of a generalized variable-coefficient Korteweg-de Vries-modified Korteweg-de Vries equation with symbolic computation [J] . Wang P., Tian B., Liu W.-J., The European physical journal, D. Atomic, molecular, and optical physics . 2012,第9期

机译：具有符号计算的广义变系数Korteweg-de Vries修正Korteweg-de Vries方程的呼吸和孤子的相互作用
3. Integrable properties of a variable-coefficient Korteweg-de Vries model from Bose-Einstein condensates and fluid dynamics [J] . Zhang CY, Gao YT, Meng XH, Journal of Physics, A. Mathematical and General: A Europhysics Journal . 2006,第46期

机译：Bose-Einstein凝析油和流体动力学的变系数Korteweg-de Vries模型的可积性质
4. SOLITARY WAVES PROPAGATING BY VARIABLE-COEFFICIENT EXTENDED KORTEWEG-DE VRIES EQUATION [C] . Myo Myo Thu, Moe Moe Hlaing Asian conference on remote sensing;ACRS 2008 . 2008

机译：变系数扩展Korteweg-De VRies方程的孤波传播
5. A decay property of solution to the modified Korteweg-de Vries equation. [D] . Nahas, Joules. 2010

机译：修正的Korteweg-de Vries方程解的衰减性质。
6. Solution of the pulse width modulation problem using orthogonal polynomials and Korteweg-de Vries equations [O] . D. V. Chudnovsky, G. V. Chudnovsky 1999

机译：使用正交多项式和Korteweg-de Vries方程求解脉冲宽度调制问题
7. Change of polarity for periodic waves in the variable-coefficient Korteweg-de Vries equation [O] . Roger Grimshaw 2014

机译：变系数Korteweg-de Vries方程中周期波的极性变化
8. Painleve Property, Lax Pair, Auto-Baecklund Transformation and Recursion Operator of a Perturbed Korteweg-de Vries Equation [R] . Baby, B. V. 1987

机译：具有扰动的Korteweg-de Vries方程的painleve性质，Lax对，auto-Baecklund变换和递归算子

Symbolic computation on integrable properties of a variable-coefficient Korteweg-de Vries equation from arterial mechanics and Bose-Einstein condensates

摘要

著录项

相似文献

相关主题

期刊订阅