Stability of Elliptic Solutions to the sinh-Gordon Equation

نویسندگان

چکیده

Using the integrability of sinh-Gordon equation, we demonstrate spectral stability its elliptic solutions. By constructing a Lyapunov functional using higher-order conserved quantities show that these solutions are orbitally stable with respect to subharmonic perturbations arbitrary period.

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ژورنال

عنوان ژورنال: Journal of Nonlinear Science

سال: 2021

ISSN: ['0938-8974', '1432-1467']

DOI: https://doi.org/10.1007/s00332-021-09722-4