For meromorphic potentials integrable at infinity, Zakharov-Shabat systems are solvable by quadrature if and only if the potentials are reflectionless, subject to extra analyticity and spectral-zero assumptions.
Ablowitz, Nonlinear Dispersive Waves: Asymptotic Analysis and Solit ons, Cambridge University Press, Cambridge, 2011
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math.AP 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
Solvability of the Zakharov-Shabat systems with meromorphic potentials by quadrature
For meromorphic potentials integrable at infinity, Zakharov-Shabat systems are solvable by quadrature if and only if the potentials are reflectionless, subject to extra analyticity and spectral-zero assumptions.