Explicit Solutions of Integrable Variable-coeffcient Cylindrical Toda Equations
Ting Su
College of Science, Henan University of Engineering, China.
Jia Wang
School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, China.
Quan Zhen Huang
School of Electrical Information Engineering, Henan University of Engineering, China.
*Author to whom correspondence should be addressed.
Abstract
Integrable cylindrical Toda lattice equations are proposed by utilizing a generalized version of the dressing method. A compatibility condition is given which insures that these equations are integrable. Further, soliton solutions for new type equations are shown in explicit forms, including one soliton solution and two soliton solutions, respectively.
Keywords: Cylindrical Toda equation, the generalized dressing method, two soliton solutions.