Recursion operator for the IGSG equation

Abstract

In this paper we find the inverse and direct recursion operator for the intrinsic generalized sine-Gordon equation in any number $n>2$ of independent variables. Among the flows generated by the direct operator we identify a higher-dimensional analogue of the pmKdV equation.

12 pages

References in corpus (1)

• Why nonlocal recursion operators produce local symmetries: new results and applications

Cited by in corpus (3)

• On the spectral parameter problem
• Recursion operators for dispersionless integrable systems in any dimension
• On construction of symmetries and recursion operators from zero-curvature representations and the Darboux-Egoroff system