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