Reflectionless potentials and soliton series of the nonlinear Schrödinger equation

DOI10.1016/0167-2789(95)00157-YzbMath1194.35421MaRDI QIDQ992383

Victor Yu. Novokshenov

Publication date: 11 September 2010

Published in: Physica D (Search for Journal in Brave)

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse scattering problems in quantum theory (81U40)

Related Items

The Riemann problem and matrix-valued potentials with a convergent Baker-Akhiezer function, Eigenvalue asymptotics for Zakharov-Shabat systems with long-range potentials, Reflectionless sine-Gordon potentials with an infinite spectrum

Cites Work

• Limits of soliton solutions
• Reflectionless potentials and soliton series of the KdV equation
• Dressing chains and the spectral theory of the Schrödinger operator
• The infinite-dimensional dressing dynamical system
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