Auto-Backlund transformations and exact solutions for the generalized two-dimensional Korteweg-de Vries-Burgers-type equations and Burgers-type equations

作者：Li B^*; Chen Y; Zhang HQ

来源：Zeitschrift fur Naturforschung Section A-A Journal of Physical Sciences, 2003, 58(7-8): 464-472.

• auto-Backlund transformation
• homogeneous balance method
• two-dimensional Korteweg-de Vries-Burgers-type equation
• two-dimensional Burgers-type equation
• solitary-wave solution
• Mathematica

In this paper, based on the idea of the homogeneous balance method and with the help of Mathematica, we obtain a new auto-Backlund transformation for the generalized two-dimensional Kortewegde Vries-Burgers-type equation and a new auto-Backlund transformation for the generalized two-dimensional Burgers-type equation by introducing two appropriate transformations. Then, based on these two auto-Backlund transformation, some exact solutions for these equations are derived. Some figures are given to show the properties of the solutions.

• 出版日期2003-8
• 单位大连理工大学