Applications of computer algebra in solving nonlinear evolution equations. (English) Zbl 1167.35300

Xie, Fu-Ding; Gao, Xiao-Shan

Commun. Theor. Phys. 41, No. 3, 353-356 (2004).

Summary: With the use of computer algebra, the method that straightforwardly leads to travelling wave solutions is presented. The compound KdV–Burgers equation and KP–B equation are chosen to illustrate this approach. As a result, their abundant new soliton-like solutions and period form solutions are found.

MSC:

35-04	Software, source code, etc. for problems pertaining to partial differential equations
68W30	Symbolic computation and algebraic computation

Keywords:

computer algebra; travelling wave solution; nonlinear evolution equation