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非线性"Good"Boussinesq方程的显式多辛格式

黄浪扬

华侨大学学报(自然科学版)2011,Vol.32Issue(1):100-102,3.
华侨大学学报(自然科学版)2011,Vol.32Issue(1):100-102,3.

非线性"Good"Boussinesq方程的显式多辛格式

Explicit Multi-Symplectic Scheme for Nonlinear"Good" Boussinesq Equation

黄浪扬1

作者信息

  • 1. 华侨大学,数学科学学院,福建,泉州,362021
  • 折叠

摘要

Abstract

By diseretizing the multi-symplectic systems of the nonlinear "Good" Boussinesq equation, we have derived the discretized multi- symplectic conservation laws. A new seven-point explicit multi-symplectic scheme which is equivalent to the discretized method is obtained. It is showen that the scheme constructed in this paper has excellent long-time numerical behavier by numerical experiments.

关键词

非线性"Good"Boussinesq方程/多辛方程组/显式多辛格式/多辛守恒律/孤立波试验

Key words

nonlinear "Good" Boussinesq equation / multi-syrnplectic systems/ explicit multi-symplectic scheme/ multisymplectic conservation laws/ solitary wave experiments

分类

数理科学

引用本文复制引用

黄浪扬..非线性"Good"Boussinesq方程的显式多辛格式[J].华侨大学学报(自然科学版),2011,32(1):100-102,3.

基金项目

国家自然科学基金资助项目(10901074) (10901074)

福建省自然科学基金资助项目(Z0511029) (Z0511029)

华侨大学学报(自然科学版)

OA北大核心CSTPCD

1000-5013

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