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- Title
Stability of Elliptic Solutions to the sinh-Gordon Equation.
- Authors
Sun, Wen-Rong; Deconinck, Bernard
- Abstract
Using the integrability of the sinh-Gordon equation, we demonstrate the spectral stability of its elliptic solutions. With the first three conserved quantities of the sinh-Gordon equation, we construct a Lyapunov functional. By using such Lyapunov functional, we show that these elliptic solutions are orbitally stable with respect to subharmonic perturbations of arbitrary period.
- Subjects
CONSERVED quantity; EQUATIONS; CONSERVATION laws (Mathematics)
- Publication
Journal of Nonlinear Science, 2021, Vol 31, Issue 4, p1
- ISSN
0938-8974
- Publication type
Article
- DOI
10.1007/s00332-021-09722-4