一类非线性波动方程新的显式精确解  

New Explicit Exact Solutions for a Kind of Nonlinear Wave Equation

作　　者：刘煜[1] 范立群[2] 

机构地区：[1]河南电力试验研究院,河南郑州450052 [2]河南科技学院,河南新乡453003

出　　处：《河南科技大学学报（自然科学版）》2008年第6期83-85,92,共4页Journal of Henan University of Science And Technology:Natural Science

摘　　要：利用积分法和试探函数法求出了非线性波动方程utt-kuxx+pu+qu2+su3=0多个新的显式精确解,其中包括双曲函数型孤立波解、三角函数周期波解,特别是得到了该方程的有理函数型孤立波解,用试探函数法求出的一类解代表了任意多组解,由该类解可以化出扭状孤波解和奇异行波解。Many new explicit exact solutions for nonlinear wave equation utt-kuxx+pu+qu2+su3=0 are obtained by means of the integration and trial function method.These new solutions include solitary wave solutions of hyperbolic function form,periodic wave solution of triangle function form and especially solitary wave solution of rational function form.The expression of solution derived by trial function method represents countless solutions and from this expression a kink soliton solution and a singular traveling wave solution are obtained.

关 键 词：非线性波动方程 孤立波解 有理函数型孤立波解 扭状孤波解 奇异行波解 

分 类 号：O175.29[理学—数学]