Exact soliton solutions for the fifth-order Sawada–Kotera equation

摘要

Exact soliton solutions for the fifth-order Sawada–Kotera equation are obtained by using the Hirota bilinear method. These solutions include one-soliton solutions, periodic two-soliton solutions and singular periodic soliton solutions. The results show that there exist periodic two-soliton solutions and singular periodic soliton solutions for the fifth-order Sawada–Kotera equation.