Approximate Similarity Reduction for Perturbed Kaup-Kupershmidt Equation via Lie Symmetry Method and Direct Method

• 来源期刊: 理论物理通讯(英文版)
• 学科: 数学
• 关键词: Kupershmidt方程 Lie对称性 相似 扰动 直接法 线性常微分方程 求解 近似方法
• 年，卷（期）: 2010,（11）
• 页码范围: 797-802
• 页数: 6页
• 分类号: O175.29 O316
• 语种: 英文

摘要

The perturbed Kaup-Kupershmidt equation is investigated in terms of the approximate symmetry perturbationmethod and the approximate direct method.The similarity reduction solutions of different orders are obtainedfor both methods, series reduction solutions are consequently derived.Higher order similarity reduction equations arelinear variable coefficients ordinary differential equations.By comparison, it is find that the results generated from theapproximate direct method are more general than the results generated from the approximate symmetry perturbationmethod.