The tanh-coth method is used to seek solutions to obtain solutions to the new integrable sixthorder Korteweg-de Vries equation (KdV6). Following the analogy between the Korteweg-de Vries equation (KdV) and the modified Korteweg-de Vries equation (MKdV) we construct a new system equivalent to KdV6 from which exact solutions to original equation and derived, during the sech method.
Salas, Alvaro H. and Gómez S, Cesar. A.
Exact solutions for the KdV6 and mKdV6 Equations via tanh-coth and sech Methods,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 5,
2, Article 12.
Available at: https://digitalcommons.pvamu.edu/aam/vol5/iss2/12