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A New （2＋1）-Dimensional Integrable Equation
  • ISSN号：0253-6102
  • 期刊名称：《理论物理通讯：英文版》
  • 时间：0
  • 分类：O175.1[理学—数学;理学—基础数学] O175.29[理学—数学;理学—基础数学]
  • 作者机构：[1]Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China, [2]Abdus Salam International Centre for Theoretical Physics, Trieste 34139, Italy
  • 相关基金：The project supported by National Natural Science Foundation of China under Grant No. 10575087 and the Natural Science Foundation of Zhejiang Province under Grant No. 102053
作者： REN Bo[1], LIN Ji[1,2]
关键词： 可积方程, 非线性偏微分方程, 磷酸二酯酶, LAX对, 傅立叶, 还原法, 磷酸酶, 时空, mKP equation, asymptotically exact reduction method, Lax pair
中文摘要：

在 2+1 尺寸的一个新非线性的部分微分方程(PDE ) 基于 Fourier 扩大借助于一个 asymptotically 准确的减小方法从 mKP 方程被获得并且时间空间重新可伸缩。以便表明新方程的 integrability 性质，相应的宽松的对被把减小技术用于 mKP 方程的宽松的对获得。

英文摘要：

A new nonlinear partial differential equation （PDE） in 2＋1 dimensions is obtained from the mKP equation by means of an asymptotically exact reduction method based on Fourier expansion and spatio-temporal resealing. In order to demonstrate integrability property of the new equation, the corresponding Lax pair is obtained by applying the reduction technique to the Lax pair of the mKP equation.

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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
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  • 被引量:342