Nonsingular complexiton solutions for two higher-dimensional fifth-order nonlinear integrable equations

In this work we construct multiple-periodic soliton solutions for two higher-dimensional fifth-order nonlinear integrable equations. The simplified Hirota method is used to carry out the analysis. By extending the real parameters into complex parameters, nonsingular periodic-soliton solutions, or complexiton solutions, are obtained for two specific coefficients of the higher-dimensional equations. The conditions of the existence of periodic-soliton solutions are derived. (paper)