Abstract

Using their previous KdV solution (1982), the authors apply a Backlund transformation to obtain new sets of solutions to another nonlinear equation yt+yxxx-6y2yx+6yx=0 based on theorems deduced recently. The solutions to the above equation can be separated into three categories: lambda >0, lambda =0, lambda 0 and lambda =0. Many numerical examples are given to illustrate the main features of some of the new solutions.

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