On the prediction of the number of solitons excited by an arbitrary potential: An observation from inverse scattering

DOI10.1016/0167-2789(93)90021-RzbMath0785.35094MaRDI QIDQ1312397

P. J. Hansen, Karl E. Lonngren

Publication date: 31 January 1994

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

zbMATH Keywords

Korteweg-de Vries equationforced nonlinear Schrödinger equationsoliton production rate by a pulse

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30)

Related Items (4)

Analytical modeling of electrical solitons in a nonlinear transmission line using Schamel-Korteweg deVries equation ⋮ On solitons in media modelled by the hierarchical KdV equation ⋮ Korteweg-de Vries soliton detection from a harmonic input ⋮ On the KdV soliton formation and discrete spectral analysis

Cites Work

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• The forced nonlinear Schrödinger equation
• Comments on the inverse scattering transform for the forced Toda lattice
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

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