高校应用数学学报B辑
高校應用數學學報B輯
고교응용수학학보B집
APPLIED MATHEMATICS A JOURNAL OF CHINESE UNIVERSITIES
2004年
1期
44-50
,共7页
nonlinear wave equations%modified Jocobi elliptic function expansion method%modified extended tanh-function method%symbolic computation
Based on the modified Jocobi elliptic function expansion method and the modified extended tanh-function method, a new algebraic method is presented to obtain multiple travelling wave solutions for nonlinear wave equations. By using the method,Ito's 5th-order and 7th-order mKdV equations are studied in detail and more new exact Jocobi elliptic function periodic solutions are found. With modulus m→ 1 or m→ 0, these solutions degenerate into corresponding solitary wave solutions, shock wave solutions and trigonometric function solutions.
