Abstract
It is shown that integrable (1+2)-dimensional Davey-Stewartson (DS) and Boiti-Leon-Pempinelli (BLP) equations admit an explicit invertible Backlund auto-transformation. An algorithm is developed to construct exact solutions for “flat-” and “horseshoe”-type solitons of the DS system. Successive application of these transformations allows us to find solutions of (1+1)- and (0+2)-dimensional Toda lattice equations. We point out a similar auto-transformation for analogues of the DS system realized for an arbitrary associative algebra with a unity, in particular, for matrix DS equations. We also relate the (1+2)-dimensional models that we construct to (1+1)-dimensional J-S-systems.
Sign-in/Register to access full text options 
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
