Article ID Journal Published Year Pages File Type
4631832 Applied Mathematics and Computation 2010 7 Pages PDF
Abstract

In this work, two generalized breaking soliton equations, namely, the Bogoyavlenskii’s breaking soliton equation and its extended form, are examined. The complete integrability of these equation are justified. Multiple soliton solutions and multiple singular soliton solutions are formally derived for each equation. The additional terms of these equations do not kill the integrability of the typical breaking soliton equation. The Cole–Hopf transformation method and the simplified Hereman’s method are applied to conduct this analysis.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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