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CTE Solvability, Nonlocal Symmetries and Exact Solutions of Dispersive Water Wave System
  • ISSN号：0253-6102
  • 期刊名称：Communications in Theoretical Physics
  • 时间：2014.5.1
  • 页码：545-550
  • 分类：O413.3[理学—理论物理;理学—物理] U675.79[交通运输工程—船舶及航道工程;交通运输工程—船舶与海洋工程]
  • 作者机构：[1]Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China, [2]Department of Physics, Ningbo University, Ningbo 315211, China
  • 相关基金：Supported by the National Natural Science Foundations of China under Grant Nos. 11175092, 11275123, 11205092, and 10905038, Talent Fund and K. C. Wong Magna Fund in Ningbo University
  • 相关项目：达布变换，非局域对称及其局域化
作者： 陈春丽|楼森岳|
关键词： 局域对称性, C系统, 可解性, CTE, 水波, 色散, BACKLUND变换, 精确解, consistent tanh expansion, dispersion water wave （DWW） system, nonlocal symmetries, the con-sistent Riccati expansion
中文摘要：

一个一致 tanh 扩大(CTE ) 方法为分散水波浪(DWW ) 被开发系统。为 CTE 可解决的 DWW 系统，与 tanh 扩大有关有二个分支，当辅助分支不是一致的时，主要分支是一致的。从一致分支，我们能无穷地包括 soliton 反响的答案和 soliton 周期的波浪相互作用获得许多准确重要答案。从不一致的分支，仅仅一个特殊答案能被发现。CTE 相关非局部的对称也被建议。非局部的对称能是局部性的发现有限 B ? 由延长模型到扩大的 cklund 转变。

英文摘要：

A consistent tanh expansion （CTE） method is developed for the dispersion water wave （DWW） system. For the CTE solvable DlVVC system, there are two branches related to tanh expansion, the main branch is consistent while the auxiliary branch is not consistent. From the consistent branch, we can obtain infinitely many exact significant solutions including the soliton-resonant solutions and soliton-periodic wave interactions. From the inconsistent branch, only one special solution can be found. The CTE related nonlocal symmetries are also proposed. The nonlocai symmetries can be localized to find finite Backlund transformations by prolonging the model to an enlarged one.

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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