N-soliton solutions for the integrable bidirectional sixth-order Sawada-Kotera equation

作者：Wazwaz Abdul Majid^*

来源：Applied Mathematics and Computation, 2010, 216(8): 2317-2320.

DOI：10.1016/j.amc.2010.03.072

• Sawada-Kotera equation
• Cole-Hopf transformation
• Hirota bilinear method
• Multiple soliton solutions
• Singular soliton solutions
• Resonance

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.

• 出版日期2010-6-15