Soliton dynamics for near integrable differential-difference equations

DOI10.1007/BF01016147zbMath0850.35114OpenAlexW2080963641MaRDI QIDQ1918828

Russell L. Herman

Publication date: 18 November 1996

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01016147

zbMATH Keywords

inverse scatteringdirect perturbation methodsperturbed Toda lattice equationsspectral perturbation method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Partial functional-differential equations (35R10)

Cites Work

• Numerical, experimental, and analytical studies of the dissipative Toda lattice
• Theory of nonlinear lattices
• Canonically Conjugate Variables for the Korteweg-de Vries Equation and the Toda Lattice with Periodic Boundary Conditions
• A Perturbation Expansion for the Zakharov–Shabat Inverse Scattering Transform
• A direct approach to studying soliton perturbations
• Resolution of the motion of a perturbed KdV soliton

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