The generalized (1 + 1)-dimensional and (2+1)-dimensional Ito equations: multiple exp-function algorithm and multiple wave solutions

Abstract

The multiple exp-function algorithm, as a generalization of Hirota's perturbation scheme, is used to construct multiple wave solutions to the generalized (1 + 1)-dimensional and (2 + 1)-dimensional Ito equations. Some of the resulting solutions involve generic phase shifts and wave frequencies.