D. Pelinovsky and D. Wu
Gauge transformation and spectral decomposition for the Ishimori-II equations
J. Phys. A: Math. Gen. 36, 5557-5574 (2003)
Abstract:
We study the gauge transformation between spectral problems
and their adjoints for the Ishimori-II and Davey-Stewartson II
equations. We prove the spectral decomposition theorem for
eigenfunctions of a linear operator associated with
the Ishimori-II equations.
Keywords:
INVERSE SCATTERING, LINEAR OPERATORS, GAUGE TRANSFORM, ADJOINT
TRANSFORM, VORTICES, LUMPS, ISHIMORI-II EQUATIONS, DAVEY-STEWARTSON EQUATIONS