摘要

In this work, we investigate a completely integrable seventh-order member of the KdV6 hierarchy. We develop two extensions of (2 + 1) dimensions for this equation. We show that the dispersion relations are distinct that will reflect on the structures of the obtained solutions. We use the simplified Hirota's method to determine multiple soliton solutions for these three equations. The integrability of the extended equations is tested by using the Painleve analysis.

  • 出版日期2016-6-30