【摘要】 运用映射法,结合辅助方程,利用计算机代数系统Mathematica求出了非线性Klein-Gordon方程的一系列新的精确周期解,补充了前面研究的结果.这些精确解可在极限情况下(m→1)退化为孤波解.该方法简化了求解过程,并可以用来求解其他的非线性演化方程,如Schrdinger方程、KP方程等.更多还原

【Abstract】 In this paper,we make use of extended mapping method and auxiliary equation method for finding new periodic wave solutions of nonlinear evolution equations in mathematical physics,we obtain some new periodic wave solutions for Klein-Gordon equation which can not be found by previous work.When the modulus m→1,these solutions degenerate into solitary wave solutions.This method also can be use to find new periodic wave solutions of other nonlinear evolution equations such as KP equation,etc.更多还原