A study on the bilinear Caudrey-Dodd-Gibbon equation

作者：Jiang, Bo^*; Bi, Qinsheng

来源：Nonlinear Analysis-Theory Methods & Applications, 2010, 72(12): 4530-4533.

DOI：10.1016/j.na.2010.02.030

• Bilinear Caudrey-Dodd-Gibbon equation
• Local equivalence
• A new type of Backlund transformation

In this paper we consider the Hirota transformation of the Caudrey-Dodd-Gibbon equation (CDGE) from another point of view. As a result, the local equivalence between the CDGE and its bilinear equation is established, and a new type of Backlund transformation, which is defined by a second-order ODE along with the appropriate initial values, is presented to construct new solutions for the bilinear CDGE from the seed solutions of original CDGE.

• 出版日期2010-6-15
• 单位江苏大学; 江苏理工学院