Multiple soliton solutions for the Bogoyavlenskii's generalized breaking soliton equations and its extension form

作者：Wazwaz Abdul Majid^*

来源：Applied Mathematics and Computation, 2010, 217(8): 4282-4288.

DOI：10.1016/j.amc.2010.09.048

• Breaking soliton equations
• Simplified bilinear method
• Multiple soliton solutions
• Complete integrability

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.

• 出版日期2010-12-15