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Existence and breaking property of real loop-solutions of two nonlinear wave equations
  • ISSN号：0253-4827
  • 期刊名称：《应用数学和力学：英文版》
  • 时间：0
  • 分类：O175.29[理学—数学;理学—基础数学] TN915[电子电信—通信与信息系统;电子电信—信息与通信工程]
  • 作者机构：[1]Department of Mathematics, Zhejiang Normal University, Jinhua 321004, Zhejiang Province, P. R. China, [2]Kunming University of Science and Technology, Kunming 650093, P. R. China
  • 相关基金：Project supported by the National Natural Science Foundation of China （Nos. 10671179 and 10831003）
作者： 李继彬[1,2]
关键词： 非线性波动方程, 环路, 财产, 动力学分析, 孤子解, 行波解, 参数表, 回路, planar dynamical system, breaking wave solution, loop-solution, nonlinear wave equation
中文摘要：

Dynamical analysis has revealed that,for some nonlinear wave equations,loop-and inverted loop-soliton solutions are actually visual artifacts.The so-called loop-soliton solution consists of three solutions,and is not a real solution.This paper answers the question as to whether or not nonlinear wave equations exist for which a 'real' loop-solution exists,and if so,what are the precise parametric representations of these loop traveling wave solutions.

英文摘要：

Dynamical analysis has revealed that, for some nonlinear wave equations, loop- and inverted loop-soliton solutions are actually visual artifacts. The so-called loopsoliton solution consists of three solutions, and is not a real solution. This paper answers the question as to whether or not nonlinear wave equations exist for which a ＂real＂ loopsolution exists, and if so, what are the precise parametric representations of these loop traveling wave solutions.

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期刊信息
  • 《应用数学和力学：英文版》
  • 主管单位:交通部
  • 主办单位:上海大学
  • 主编：周哲玮
  • 地址：上海市宝山区上大路99号上海大学122信箱
  • 邮编：200444
  • 邮箱：amm@department.shu.edu.cn
  • 电话：021-66135219 66165601
  • 国际标准刊号：ISSN：0253-4827
  • 国内统一刊号：ISSN：31-1650/O1
  • 邮发代号:
  • 获奖情况:
  • 上海市优秀科技期刊一等奖,中国期刊方阵“双效”期刊
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  • 被引量:541