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Resonant uniqueness of radial semiclassical Schrodinger operators
inverse scattering theory trace invariants semiclassical Schrodinger operators
2011/8/25
Abstract: We prove that radial, monotonic, superexponentially decaying potentials in R^n, n greater than or equal to 1 odd, are determined by the resonances of the associated semiclassical Schrodinger...
Resonant solitons from the $3\times 3$ operator
Soliton Solutions Inverse Scattering Parametric Interactions Three Wave Interactions sl(3) Soliton Solutions Resonant Solitons
2011/7/6
Resonant solitons of the $3\times 3$ operator are studied. The scattering data of this operator contains four transmission coefficients, two in each half complex $\zeta$-plane, where $\zeta$ is the sp...
Chiral Resonant Solitons in Broer-Kaup Type New Hydrodynamic Systems
Chiral Resonant Solitons Broer-Kaup Type New Hydrodynamic Systems
2010/12/28
New Broer-Kaup type systems of hydrodynamic equations are derived from the derivative reaction-diffusion systems arising in SL(2,R) Kaup-Newell hierarchy, represented in the non-Madelung hydrodynamic ...
Resonant cyclotron acceleration of particles by a time periodic singular flux tube
cyclotron particles periodic singular flux tube
2010/11/8
We study the dynamics of a classical nonrelativistic charged particle moving on a punctured plane under the influence of a homogeneous magnetic field and driven by a periodically time-dependent singu...
Codimension-3 bifurcations of an orbit-flip homoclinic orbit with resonant principal eigenvalues are studied for a four-dimensional system. The existence, number, co-existence and non-coexistence of 1...