Some Aspects of Toda Molecule

 

Author

Michitomo Nishizawa, Yasuhiro Ohta and Satoshi Tsujimoto.

Journal

Glasgow Math. J., 47A (2005) 169-176.,

Abstract

A q-discrete analog of the Toda molecule equation and its N-soliton solution is constructed by using the bilinear method. The solution is expressed in the Casorati determinant form whose elements are given in terms of the q-orthogonal polynomials.