A sub-ODE method for generalized Gardner and BBM equation with nonlinear terms of any order

作者：Lu, Dianchen^*; Liu, CuiLian

来源：Applied Mathematics and Computation, 2010, 217(4): 1404-1407.

DOI：10.1016/j.amc.2009.05.049

• Sub-ODE
• Generalized Gardner equation
• Generalized BBM equation
• Traveling wave solutions

In this paper, a method with the aid of a sub-ODE and its solutions is used for constructing new periodic wave solutions for nonlinear Gardner equation and BBM equation with nonlinear terms of any order arising in mathematical physics. As a result, many exact traveling wave solutions are successfully obtained. The method in the paper is very direct and it can also be applied to other nonlinear evolution equations.

• 出版日期2010-10-15
• 单位江苏大学