The Multisoliton Solutions for the ( 2 + 1 ) -Dimensional Sawada-Kotera Equation

Abstract

Applying bilinear form and extended three-wavetype of ansätz approach on the $(2+1)$-dimensional Sawada-Kotera equation, we obtain new multisoliton solutions, including the double periodic-type three-wave solutions, the breather two-soliton solutions, the double breather soliton solutions, and the three-solitary solutions. These results show that the high-dimensional nonlinear evolution equation has rich dynamical behavior.