WebThe book is intended for mathematicians, physicists, and engineers in the area of soliton equations, as well as those interested in the analytical aspects of inverse scattering or … WebDirect and Inverse Scattering on the Line. American Mathematical Society, Mathematical Surveys and Monographs, 28, 1988. Richard Beals, Carlos Tomei “This book deals with the theory of linear ordinary differential operators of arbitrary order. Unlike treatments that focus on spectral theory, this work centers on the construction of special ...
Stability of direct and inverse scattering problems for the …
WebThe inverse scattering transform for the defocusing Manakov system with nonzero boundary conditions at infinity is rigorously studied and new symmetries are derived … WebAug 31, 2024 · 1. Introduction. The main aim of the paper is to develop the direct and inverse scattering theory for a class of one-dimensional energy-dependent Schrödinger equations. on the half-line with integrable potentials p, highly singular potentials q, and some boundary conditions at the origin. lightspeed cost uk
Direct Scattering I Request PDF - ResearchGate
WebIn this paper the authors study the inverse Schrödinger scattering on the real line. A method is given that allows unique reconstruction of a potential that is a priori known on the half line from the knowledge of the reflection coefficient and the bound state energies. In particular no information on the forming constants is required. WebApr 11, 2024 · The authors study the Cauchy problem for the focusing nonlinear Kundu-Eckhaus (KE for short) equation and construct the long time asymptotic expansion of its solution in fixed space-time cone with C(x1, x2, v1, v2) = {(x, t) ∈ ℝ2 : x = x0 + vt, x0 ∈ [x1, x2], v ∈ [v1, v2]}. By using the inverse scattering transform, Riemann-Hilbert approach … WebJun 1, 2000 · A direct and inverse scattering theory on the full line is developed for a class of first-order selfadjoint 2n2n systems of differential equations with integrable potential matrices. lightspeed crm on mobile