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math.CA2025
Sharp decay rate for (1+2)-dimensional oscillatory integral operators with cubic polynomial phases
Jayden Lang, Wan Tang
In this paper, we consider the (1+2)-dimensional oscillatory integral with degenerate cubic homogeneous polynomial phase. We prove that the decay rate of 3/8 given in (Arch…
math-ph2025
On the N-elliptic localized solutions to the derivative nonlinear Schrödinger equation and their asymptotic analysis
Liming Ling, Wang Tang
We parameterize the elliptic function solutions to the derivative nonlinear Schrödinger (DNLS) equation with four independent parameters and generate two equivalent forms of N-elli…