Similarity Solutions for Generalized Variable Coefficients Zakharov-Kuznetsov Equation under Some Integrability Conditions

• 来源期刊: 理论物理通讯(英文版)
• 学科: 数学
• 关键词: 偏微分方程 广义变系数 可积性条件 相似性解 优化系统 常微分方程 对称方法 对称性
• 年，卷（期）: 2010,（10）
• 页码范围: 603-608
• 页数: 6页
• 分类号: O175.2 O175.29
• 语种: 英文

摘要

In this paper, the symmetry method has been carried over to the generalized variable coefficients Zakharov-Kuznetsovequation.The infinitesimal symmetries and the optimal system are deduced and from this optimal systemseven basic fields are determined, and for every vector field in the optimal system the admissible forms of the coefficientsare found and this also leads us to transform the given equation into partial differential equations in two variables.After using some referenced transformations the mentioned partial differential equations eventually reduce to ordinarydifferential equations.The search for solutions to those equations has yielded many exact solutions in most cases.