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Boussinesq方程新的精确解

王丹 孙卫卫

曲阜师范大学学报(自然科学版)2019,Vol.45Issue(2):8-14,7.
曲阜师范大学学报(自然科学版)2019,Vol.45Issue(2):8-14,7.DOI:10.3969/j.issn.1001-5337.2019.2.008

Boussinesq方程新的精确解

New exact solutions of Boussinesq equations

王丹 1孙卫卫1

作者信息

  • 1. 青岛理工大学琴岛学院,266100,山东省青岛市
  • 折叠

摘要

Abstract

With the help of symbolic computation software of Maple,a new auxiliary function is proposed to construct exact travelling wave solutions of nonlinear partial differential equations in mathematical physics.More solutions of the auxiliary equation are obtained based on the relationship of Jacobi elliptic functions.By its application to Boussinesq equations,we test its validity and reliability.

关键词

Maple/有理展开法/辅助方程/Boussinesq方程组/精确解

Key words

maple/rational expansion method/auxiliary function/Boussinesq equations/exact solution

分类

数理科学

引用本文复制引用

王丹,孙卫卫..Boussinesq方程新的精确解[J].曲阜师范大学学报(自然科学版),2019,45(2):8-14,7.

基金项目

National Natural Science Foundation of China(51579040),Scientific Research Progame of Shandong High School(J15LI57). (51579040)

曲阜师范大学学报(自然科学版)

1001-5337

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