Symmetry Reductions and Exact Solutions of Blaszak-Marciniak Four-Field Lattice Equation

• 来源期刊: 理论物理通讯(英文版)
• 学科: 数学
• 关键词: 微分差分方程 对称性约化 晶格 精确解 李群方法 相似约化 点对称 场方程
• 年，卷（期）: 2010,（9）
• 页码范围: 389-392
• 页数: 4页
• 分类号: O175.7 O175.29
• 语种: 英文

摘要

Applying the Lie group method to the differential-difference equation,the Lie point symmetry of Blaszak-Marciniakfour-field Lattice equation is obtained.Using the obtained symmetry,the similarity reduction equationsof Blaszak-Marciniak four-field Lattice equation are derived.Solving the reduction,we get the solution of Blaszak-Marciniakfour-held Lattice equation which not only recovers one of the solutions obtained by Ma and Hu [J.Math.Phys.40 (1999) 6071] but also has the singularity when we choose the arbitrary constants accurately.