一类广义非线性sine-Gordon方程新的显式解  

New explicit solutions for a class of generalized nonlinear sine-Gordon equation

作　　者：周建平[1] 闫志莲[2] 

机构地区：[1]安徽工业大学计算机学院,安徽马鞍山243002 [2]安徽工业大学数理学院,安徽马鞍山243002

出　　处：《量子电子学报》2007年第5期535-538,共4页Chinese Journal of Quantum Electronics

摘　　要：将行波变换推广为一般的函数变换,给出一种改进的试探方程法。应用该方法求解一类广义的非线性sine-Gordon方程,获得了多种形式的新显式解,包括三角函数型解,双曲函数型解。The trial equation method is improved by means of the general function transformation instead of the traveling wave transformation. Some new explicit solutions for a class of generalized nonlinear sine-Gordon equation are presented by this method, which include triangular function type solutions and hyperbolic function type solutions.

关 键 词：数学物理 试探方程法 非线性sine—Gordon方程 显式解 

分 类 号：O175.2[理学—数学]