3 papers
math.SP2025
Gelfand-Levitan condition for Dirac operators
Jie Zeng
We discuss how to generalize a Dirac operator such that the solution of a Dirac equation is of bounded variation rather than continuous. We build the spectral theory for generalize…
math.AP2025
Derivation and Well-Posedness Analysis of the Higher-Order Benjamin-Bona-Mahony Equation
Jie Zeng
This paper studies the derivation and well-posedness of a class of high - order water wave equations, the fifth - order Benjamin - Bona - Mahony (BBM) equation. Low - order models…
math.SP2024
Reflectionless Dirac operators and canonical systems
Christian Remling, Jie Zeng
We study canonical systems that are reflectionless on an open set. In this situation, the two half line functions are holomorphic continuations of each other and may thus be co…