检索结果-南通市图书馆

Asymptotic Behavior of Periodic Wave Solution to the Hirota–Satsuma Equation

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Chinese Physics Letters 2011年第6期28卷 13-16页

作者： WU Yong-Qi Mathematics and Computational Science School Zhanjiang Normal UniversityZhanjiang 524048

The one-and two-periodic wave solutions for the Hirota–Satsuma(HS)equation are presented by using the Hirota derivative and Riemann theta *** rigorous proofs on asymptotic behaviors of these two solutions are given s... 详细信息

关键词： function periodic proof

Periodic Wave Solution to the （3＋1）-Dimensional Boussinesq Equation

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Chinese Physics Letters 2008年第8期25卷 2739-2742页

作者：吴勇旗 Department of Mathematics Zhanjiang Normal University Zhanjiang 524048

One- and two-periodic wave solutions for （3＋l）-dimensional Boussinesq equation are presented by means of Hirota＇s bilinear method and the Riemann theta function. The soliton solution can be obtained from the perio... 详细信息

关键词： KADOMTSEV-PETVIASHVILI EQUATION ELLIPTIC FUNCTION EXPANSION

Algebro-Geometric Solution to Two New （2＋1）-Dimensional Modified Kadomtsev-Petviashvili Equations

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Chinese Physics Letters 2006年第10期23卷 2629-2632页

作者：吴勇旗 Department of Mathematics Zhengzhou University Zhengzhou 450052 Department of Mathematics Zhanjiang Normal University Zhanjiang 524048

Two new （2＋1）-dimensional modified Kadomtsev-Petviashvili （mKP） equations are presented, which are related to a hierarchy of （1＋1）-dimensional soliton equations. Through the nonlinearization of Lax pair and the Riemann-Jacobi inversion technique, the algebro-geometric solutions of both the mKP equations are obtained.

关键词：

Bilinear Bcklund transformation and explicit solutions for a nonlinear evolution equation

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Chinese Physics B 2010年第4期19卷 37-41页

作者：吴勇旗 Mathematics and Computational Science School Zhanjiang Normal University

The bilinear form of two nonlinear evolution equations are derived by using Hirota derivative. The Backlund transformation based on the Hirota bilinear method for these two equations are presented, respectively. As an application, the explicit solutions including soliton and stationary rational solutions for these two equations are obtained.

关键词： Hirota method Backlund transformation soliton solution

广义(n+1)维Boussinesq方程的新的周期解与计算机模拟图像

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

湛江师范学院学报 2009年第3期30卷 25-29页

作者：谢桂英吴勇旗湛江师范学院实验教学管理处广东湛江524048 湛江师范学院数学与计算科学学院广东湛江524048

利用Hirota方法及Riemann theta函数得到了广义(n+1)维Boussinesq方程的新的周期解,在极限情况下,该周期解退化为孤子解.另外,利用计算机技术和Mathematica绘制了解的三维曲面图.

关键词： Hirota方法 Riemann theta函数广义(n+1)维Boussinesq方程周期解