Term of Award

Spring 2013

Degree Name

Master of Science in Mathematics (M.S.)

Document Type and Release Option

Thesis (open access)


Department of Mathematical Sciences

Committee Chair

Chunshan Zhao

Committee Member 1

Yingkang Hu

Committee Member 2

Yi Lin

Committee Member 3

Yi Lin


The nonlinear K (n;1) equation with damping is investigated via the approximate homotopy symmetry method and approximate homotopy direct method. The approximate homotopy symmetry and homotopy similarity reduction equations of different orders are derived and the corresponding homotopy series reduction solutionsare obtained. As a result, the formal coincidence for both methods is displayed.

Included in

Mathematics Commons