Stability of elliptic solutions to the sinh-Gordon equation

DOI10.1007/s00332-021-09722-4zbMath1472.35040arXiv2008.01876OpenAlexW3165791484MaRDI QIDQ2043223

Wen-Rong Sun, Bernard Deconinck

Publication date: 29 July 2021

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.01876

zbMATH Keywords

Lyapunov functionintegrabilityorbital stabilityspectral stabilitysubharmonic perturbations of arbitrary period

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Elliptic functions and integrals (33E05) Traveling wave solutions (35C07) Second-order semilinear hyperbolic equations (35L71)

Related Items (4)

Multi-elliptic-dark soliton solutions of the defocusing nonlinear Schrödinger equation ⋮ Spectral stability of elliptic solutions to the short-pulse equation ⋮ The orbital stability of the periodic traveling wave solutions to the defocusing complex modified Korteweg-de Vries equation ⋮ Stability of elliptic solutions to the defocusing fourth order nonlinear Schrödinger equation

Uses Software

• DLMF

Cites Work

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