摘要
应用相容性方法和非经典李群方法,得到了(2+1)维非线性发展方程的非经典李点对称。通过求解非经典对称方程的相应的特征方程组得到了非线性发展方程的非经典相似约化。进而得到了非线性发展方程的新的精确解。
Employing the compatibility method and nonclassical Lie group method, we derive the nonclassical Lie point symmetry of the （2＋l）Mimensional nonlinear evolution equation. Nonclassical similarity reductions of the nonlinear evolution equation are obtained by solving the corresponding characteristic equations associated with nonclassical symmetry equations. Some new exact solutions to this equation are presented.
出处
《井冈山大学学报（自然科学版）》
2013年第2期13-19,共7页
Journal of Jinggangshan University (Natural Science)
基金
Supported by National Natural Science Foundation of China and China Academy of Engineering Physics(NSAF:11076015)
关键词
非线性发展方程
非经典李点对称
相似约化
精确解
Nonlinear evolution equation
nonclassical Lie point symmetry
similarity reductions
exact solutions
