中文

Journal of Shanghai University >

2011 , Vol. 17 >Issue 3: 270 - 274

DOI: https://doi.org/doi:10.3969/j.issn.1007-2861.2011.03.11

Mathematics.Physics and Chemistry

New Method to Solve High-Dimensional Nonlinear Evolution Equations with Symbolic Computation

Expand
  • College of Sciences, Shanghai University, Shanghai 200444, Chin

Received date: 2009-11-15

  Online published: 2011-06-24

Fold

Abstract

In this paper, we seek exact solutions to the (2+1)dimensional Bogoyavlenskii’s breaking soliton equation and (3+1) dimensional KadomtsevPetviashvili (K-P) equation by G′/Gexpansion method, and obtain non-traveling wave solutions including hyperbolic function solutions, trigonometric function solutions and rational solutions. The method is effective for high-dimensional NLPDEs in mathematical physics.

Key words： Bogoyavlenskii’s breaking soliton equation; G′/Gexpansion method; Kadomtsev-Petviashvili (K-P) equation; symbolic computation

Cite this article

SHI Zhen-Hua, XIA Tie-Cheng . New Method to Solve High-Dimensional Nonlinear Evolution Equations with Symbolic Computation[J]. Journal of Shanghai University, 2011 , 17(3) : 270 -274 . DOI: doi:10.3969/j.issn.1007-2861.2011.03.11

Options
Outlines

/

〈 〉