Eigenfunctions of Linearized Integrable Equations Expanded Around an Arbitrary Solution

DOI10.1111/1467-9590.01428zbMath1152.37342arXivnlin/0506037OpenAlexW2032722179MaRDI QIDQ4784760

Jianke Yang

Publication date: 11 December 2002

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0506037

Mathematics Subject Classification ID

Related Items (6)

Isoinertial operators around the KdV multi-solitons ⋮ Integrability and linear stability of nonlinear waves ⋮ Error propagation when approximating multi-solitons: The KdV equation as a case study ⋮ Stability of closed solutions to the vortex filament equation hierarchy with application to the Hirota equation ⋮ Squared eigenfunctions for the Sasa–Satsuma equation ⋮ Nonlinear stability of multi-solitons for the Hirota equation

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• Complete eigenfunctions of linearized integrable equations expanded around a soliton solution
• Linear stability of internal wave solitons in a deep stratified fluid
• A symmetry approach to exactly solvable evolution equations
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• A direct approach to studying soliton perturbations

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