摘要
借助符号计算软件Maple将Clarkson-Kruskal直接法应用于非线性耦合Harry-Dym方程中,运用相应规则得到对称变换并求得非线性耦合Harry-Dym方程的相似变量和相似解.通过选取不同的特殊常数得到非线性耦合Harry-Dym方程两种常微分形式的对称约化方程.利用约化方程构造了非线性耦合Harry-Dym方程可能的新严格解.
With the help of symbolic computation software Maple,the Clarkson-Kruskal direct method was developed for the nonlinear coupled Harry-Dym equation,the similarity variables and similarity solutions of the nonlinear coupled Harry-Dym equation were obtained by the symmetry transformation.Two forms of symmetric reduced equation were obtained by selecting different special contants.The exact solutions of the reduction equation were also constructed directly.
出处
《上海理工大学学报》
CAS
北大核心
2016年第1期8-12,共5页
Journal of University of Shanghai For Science and Technology
基金
上海市自然科学基金资助项目(10ZR1420800)
上海市重点学科建设项目(XTKX2012)
国家自然科学基金资助项目(11071164
11201302)