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寻找变系数KP方程的精确解
  • ISSN号：0253-6102
  • 期刊名称：《理论物理通讯：英文版》
  • 时间：0
  • 分类：O415[理学—理论物理;理学—物理]
  • 作者机构：[1]宁波大学理学院,浙江宁波315211
  • 相关基金：国家自然科学基金（10735030）; 宁波大学王宽诚幸福基金
作者： 刘彬[1], 阮航宇[1]
关键词： 变系数KP方程, 李群约化法, 推广的对称群, KP equation with variable coefficients, generalized Lie group reduction method, extended symmetries
中文摘要：

将非线性演化方程的变系数看作与实际物理场具有相等地位的新的变量,用推广的经典李群约化法,建立了常系数KP方程以及变系数CKP方程的解与新的变系数KP方程解之间的关系.利用已知的常系数KP和变系数CKP方程的解得到了新的变系数KP方程的一般解和某些特殊形式的精确解.

英文摘要：

Considering the variable coefficient of a non-linear equation as a new dependent variable,we have established relation among constant coefficient KP equations and some different kinds of variable coefficient KP equations using the general classical Lie approach.The solutions of these resulting equations can also be obtained via the solutions of the original models which are the standard constant coefficient KP and the variable coefficient cylindrical Kadomtsev-etviashvili 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