Exact Explicit Traveling Solutions for a (2+1)-Dimensional Generalized KP-BBM Equation
Liyan Zhong
School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, P. R. China.
Shengqiang Tang
School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, P. R. China.
*Author to whom correspondence should be addressed.
Abstract
By using the sine-cosine method, the extended tanh-method, we study a (2+1)-dimensional generalized Kadomtsov-Petviashvili-Benjamin-Bona-Mahony equation. It is shown that this class gives compactons solutions, solitary patterns solutions and periodic solutions. The change of the physical structure of the solutions is caused by variation of the exponents and the coefficients of the derivatives.
Keywords: Solitary patterns solution, compactons, periodic solution, the (2 1)-dimensional GKP-BBM equation