Single-phase averaging for the Ablowitz-Ladik chain

DOI10.1134/S0001434610050184zbMath1291.35367OpenAlexW2082066294MaRDI QIDQ368222

V. L. Vereshchagin

Publication date: 18 September 2013

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434610050184

zbMATH Keywords

self-similar solutionmodulation equationelliptic functionAblowitz-Ladik chainBogolyubov-Whitham averagingsingle-phase averagingWeierstrass zeta function

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55)

Cites Work

• Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory
• Local Conservation Laws and the Hamiltonian Formalism for the Ablowitz–Ladik Hierarchy
• Multiphase averaging and the inverse spectral solution of the Korteweg—de Vries equation
• Nonlinear differential−difference equations
• A Nonlinear Difference Scheme and Inverse Scattering
• Finite genus solutions to the Ablowitz‐Ladik equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Single-phase averaging for the Ablowitz-Ladik chain