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Peaked Traveling Wave Solutions to a Generalized Novikov Equation with Cubic and Quadratic Nonlinearities
  • ISSN号：0253-6102
  • 期刊名称：《理论物理通讯：英文版》
  • 时间：0
  • 分类：O175.29[理学—数学;理学—基础数学] TB324[一般工业技术—材料科学与工程]
  • 作者机构：[1]Center for Nonlinear Studies, Faculty of Science, Ningbo University, Ningbo 315211, China
  • 相关基金：Supported in part by the NSF-China for Distinguished Young Scholars Grant-10925104
作者： 李国芹[1], 屈长征[1]
关键词： CAMASSA-HOLM方程, 二次非线性, DEGASPERIS-PROCESI方程, 行波解, 立方和, 广义, 演化方程, 周期, generalized Novikov equation, Camassa-Holm equation, Degasperis-Procesi equation, peakedtraveling wave solution
中文摘要：

Camassa 河边肥沃的低地方程， DegasperisProcesi 方程和 Novikov 方程是承认达到顶点的 solitons 的三个典型 integrable 进化方程。在这份报纸，有立方、二次的非线性的一个概括 Novikov 方程被学习，它被认为是这三个著名学习方程的归纳。这个方程承认单个达到顶点的旅行波浪答案，周期的达到顶点的旅行波浪答案，和多达到顶点的旅行波浪答案，这被显示出。

英文摘要：

The Camassa-Holm equation, Degasperis-Procesi equation and Novikov equation are the three typical integrable evolution equations admitting peaked solitons. In this paper, a generalized Novikov equation with cubic and quadratic nonlinearities is studied, which is regarded as a generalization of these three well-known studied equations. It is shown that this equation admits single peaked traveling wave solutions, periodic peaked traveling wave solutions, and multi-peaked traveling wave solutions.

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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