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Binary Bell polynomial application in generalized （2＋1）-dimensional KdV equation with variable coefficients
  • ISSN号：1674-1056
  • 期刊名称：《中国物理B：英文版》
  • 时间：0
  • 分类：O175.29[理学—数学;理学—基础数学] O174.42[理学—数学;理学—基础数学]
  • 作者机构：[1]Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China
  • 相关基金：Project supported by the National Natural Science Foundation of China （Grant No. 10831003） and the Natural Science Foundation of Zhejiang Province, China （Grant Nos. Y6100791 and R6090109）.
作者： 张翼[1], 魏薇薇[1], 程腾飞[1], 宋洋[1]
关键词： 变系数KDV方程, 广义多项式, 应用程序, 二进制, 贝尔, BACKLUND变换, 非线性演化方程, LAX对, binary Bell polynomial, bilinear Backlund transformation, Lax pair, conservation law
中文摘要：

<正>In this paper,we apply the binary Bell polynomial approach to high-dimensional variable-coefficient nonlinear evolution equations.Taking the generalized(2+1)-dimensional KdV equation with variable coefficients as an illustrative example,the bilinear formulism,the bilinear Backlund transformation and the Lax pair are obtained in a quick and natural manner.Moreover,the infinite conservation laws are also derived.

英文摘要：

In this paper, we apply the binary Bell polynomial approach to high-dimensional variable-coefficient nonlinear evolution equations. Taking the generalized （2＋1）-dimensional KdV equation with variable coefficients as an illustrative example, the bilinear formulism, the bilinear Backlund transformation and the Lax pair are obtained in a quick and natural manner. Moreover, the infinite conservation laws are also derived.

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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:
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  • 被引量:406