A direct proof shows the maximal amplitude of finite-gap focusing mKdV solutions equals the sum of imaginary parts of upper-half-plane square roots of the invariant polynomial roots, with an analogous result for a bounded class of defocusing solutions.
arXiv preprint arXiv:2507.23469v1 [nlin.SI] (31 Jul 2025)
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
nlin.SI 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Sharp Upper Bound for Amplitudes of Finite-Gap Solutions of the Modified Korteweg-de Vries Equation
A direct proof shows the maximal amplitude of finite-gap focusing mKdV solutions equals the sum of imaginary parts of upper-half-plane square roots of the invariant polynomial roots, with an analogous result for a bounded class of defocusing solutions.