非线性反应扩散方程新形式分离解（英文）  

A new form of functional separable solutions to nonlinear reaction-diffusion equation

作　　者：贾化冰[1] 

机构地区：[1]宝鸡文理学院数学与信息科学学院,陕西宝鸡721013

出　　处：《宝鸡文理学院学报（自然科学版）》2015年第2期1-9,共9页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

基　　金：Scientific Research Program(No.2013JK0572,ZK0953);Natural Science Basic Research Plan in Shaanxi Province of China(No.2014JM1027)

摘　　要：目的研究非线性反应扩散方程的新形式泛函分离解。方法利用广义条件对称方法研究了方程与空间变量相关的泛函分离解。结果与结论导出了方程具有新形式分离解应满足的条件,并且,获得了一些导出方程的对应精确解。Objective To investigate a new form of functional separable solutions to nonlinear re- action-diffusion equation. Method The x- dependent functional separation of variables of the equation is studied with generalized conditional symmetry method. Result and conclusion Conditions are for- mulated for such equations as admit the x- dependent functional separable solutions. Moreover, the corresponding exact solutions of some resulting equations are derived.

关 键 词：广义条件对称 与空间变量相关泛函分离解 非线性反应扩散方程 

分 类 号：O175.2[理学—数学]