摘要
用指数函数法求解了KdV-Burgers-Kuramoto方程新的精确解,并利用其中的部分结果计算了KdV-Burges-Kuramoto方程指数形式的精确解,同时还得到了Kuramoto-Sivashinsky方程指数形式的精确解,并通过双曲函数变换将其转化为双曲函数形式的解.最后给出了这两种非线性系统解所对应的图形,它们的解分别为孤波解和扭结解.
An exponential function method was proposed for obtaining the exact solutions of KdV-Burgers- Kummoto equation, and exact solutions of exponential function type of Kummoto-Sivashinsky equation were also provided. Exponential form solutions by hyperbolic function transformation can be transformed into hyperbolic function solutions. Corresponding graphs of the two kinds of non-linear system solutions were presented and it can be seen their solutions are solitary wave solutions and kink solutions.
出处
《上海理工大学学报》
CAS
北大核心
2013年第2期131-134,共4页
Journal of University of Shanghai For Science and Technology
基金
国家自然科学基金资助项目(11071164)
上海市重点学科建设资助项目(S30501)
