A new representation of N-soliton solution and limiting solutions for the fifth order KdV equation

A new representation of N-soliton solution of the fifth order KdV equation is obtained by using Bäcklund transformation method. It is shown that the new representation of N-soliton solution is in agreement with Hirota’s expression. Some novel soliton solutions are derived by performing an appropriate limiting procedure on the known soliton solutions.