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非线性耦合标量场方程的精确解析解
Exact Analytical Solutions of Nonlinear Coupled Scalar Field Equations
【摘要】 用直接方法和假设方法的结合得到了非线性耦合标量场方程的几种新的显式精确解析解 ,对该方程已有的一些孤子解 ,给出了更一般的形式 ,扩大了参数的取值范围 ,推广改进了已有文献的结果
【Abstract】 Some explicit analytical solutions of nonlinear coupled scalar field equations are presented by means of direct method and hypothesis method. To the soliton solutions of the equations in some literatures, a more general form is given and the span of their parameters is extended. The results in this paper are the extension and improvement of the known results.
【关键词】 非线性偏微分方程;
孤立子解;
耦合标量场;
精确解;
【Key words】 nonlinear partial differential equation; soliton solution; coupled scalar field; exact solution;
【Key words】 nonlinear partial differential equation; soliton solution; coupled scalar field; exact solution;
【基金】 国家自然科学基金项目 (内部 ) (199710 6 8)
- 【文献出处】 西安石油学院学报(自然科学版) ,Journal of Xi’an Petroleum Institute , 编辑部邮箱 ,2002年04期
- 【分类号】O175.29
- 【下载频次】46