Article ID Journal Published Year Pages File Type
4632796 Applied Mathematics and Computation 2010 4 Pages PDF
Abstract

In this work, the integrable bidirectional sixth-order Sawada–Kotera equation is examined. The equation considered is a KdV6 equation that was derived from the fifth order Sawada–Kotera equation. Multiple soliton solutions and multiple singular soliton solutions are formally derived for this equation. The Cole–Hopf transformation method combined with the Hirota’s bilinear method are used to determine the two sets of solutions, where each set has a distinct structure.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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