Journal of Non-linear Mathematical Physics

ISSN: 1402-9251
Volume 9, Issue 2, May 2002
V E VEKSLERCHIK
Pages: 157 - 180
In this paper we continue studies of the functional representation of the Ablowitz­ Ladik hierarchy (ALH). Using formal series solutions of the zero-curvature condition we rederive the functional equations for the tau-functions of the ALH and obtain some new equations which provide more straightforward...
M G ÜRSES, A KARASU, R TURHAN
Pages: 210 - 228
The recursion operators and symmetries of nonautonomous, (1 + 1) dimensional itegrable evolution equations are considered. It has been previously observed that the symmetries of the integrable evolution equations obtained through their recursion oerators do not satisfy the symmetry equations. There...
P BRACKEN, A M GRUNDLAND
Pages: 229 - 247
In this paper we study certain aspects of the complete integrability of the Generlized Weierstrass system in the context of the Sinh-Gordon type equation. Using the conditional symmetry approach, we construct the Bäcklund transformation for the Generalized Weierstrass system which is determined by...