Article ID Journal Published Year Pages File Type
767105 Communications in Nonlinear Science and Numerical Simulation 2012 6 Pages PDF
Abstract

In this work, two extensions of the Bogoyavlenskii–Schieff equation are examined. N-soliton solutions are formally determined for each extended equation. We show that the extension terms do not kill the integrability of the typical Bogoyavlenskii–Schieff equation. The simplified Hirota’s method established by Hereman and Nuseir is applied to achieve this goal.

► We study two extensions of the Bogoyavlenskii–Schieff equation. ► We use the simplified Hirota’s method. ► We determined N-soliton solutions for each extended equation.

Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
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