Recursion operator for the IGSG equation
M. Marvan, M. Pobo\v{r}il
TL;DR
This paper derives recursion operators for the intrinsic generalized sine-Gordon equation in multiple dimensions, revealing new integrable flows including a higher-dimensional analogue of the pmKdV equation.
Contribution
It introduces inverse and direct recursion operators for the IGSG equation in any number of dimensions, expanding understanding of its integrable structure.
Findings
Derived recursion operators for IGSG in arbitrary dimensions
Identified a higher-dimensional analogue of the pmKdV equation
Enhanced the integrability framework of 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 of independent variables. Among the flows generated by the direct operator we identify a higher-dimensional analogue of the pmKdV equation.
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Taxonomy
TopicsNonlinear Waves and Solitons · Advanced Mathematical Physics Problems · Nonlinear Photonic Systems