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Novel Wronskian Condition and New Exact Solutions to a (3+1)-Dimensional Generalized KP Equation
  • ISSN号：0253-6102
  • 期刊名称：Communications in Theoretical Physics
  • 时间：2013.11
  • 页码：556-560
  • 分类：O175.26[理学—数学;理学—基础数学] O175.5[理学—数学;理学—基础数学]
  • 作者机构：[1]School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China, [2]School of Mathematics and Information Science, Zhengzhou University of Light Industry, Zhengzhou 450002, China
  • 相关基金：Project supported by the National Natural Science Foundation of China （Grant Nos. 11331008 and 11171312）.
  • 相关项目：三角曲线与孤子方程的代数几何解
作者： Wu Jian-Ping|Geng Xian-Guo|
关键词： 双HAMILTON结构, 积分方程, 非线性发展方程, 微分, 广义, 层次结构, 零曲率方程, 线性光谱, spectral problem, nonlinear evolution equations, bi-Hamiltonian structure, conservation laws
中文摘要：

With the aid of the zero-curvature equation, a novel integrable hierarchy of nonlinear evolution equations associated with a 3 × 3 matrix spectral problem is proposed. By using the trace identity, the bi-Hamiltonian structures of the hierarchy are established with two skew-symmetric operators. Based on two linear spectral problems, we obtain the infinite many conservation laws of the first member in the hierarchy.

英文摘要：

With the aid of the zero-curvature equation, a novel integrable hierarchy of nonlinear evolution equations associated with a 3 x 3 matrix spectral problem is proposed. By using the trace identity, the bi-Hamiltonian structures of the hierarchy are established with two skew-symmetric operators. Based on two linear spectral problems, we obtain the infinite many conservation laws of the first member in the hierarchy.

同期刊论文项目
三角曲线与孤子方程的代数几何解
期刊论文 52
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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