Abstract
A systematic scheme to analyse the two-(space)-dimensional Toda lattice (2DTL) equation is proposed, making use of recurrence formulae similar to those of cylindrical functions. This scheme maintains a method to make linearize 2DTL equation and enables us to find various solutions, as well as ripplon-type solutions, by means of adjusting a set of coefficients of recurrence formulae. Several solutions are obtained by this method. A Bäcklund transformations is also found in this scheme to analyse the 2DTL equation. The compatibility condition to make linearize 2DTL equation is reduced to the original 2DTL equation itself.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
