6 papers
Decay rates for (2+1)-dimensional oscillatory integral operators with homogeneous polynomial phases
Jayden Lang, Wan Tang
Consider the oscillatory integral operators \begin{equation} T_λf(y)=\int_{\mathbb{R}^{2}}e^{iλS\left( x_{1},x_{2}% ,y\right) }Φ(x_{1},x_{2},y)f(x_{1},x_{2})dx_{1}dx_{2},\nonumber…
Asymptotic analysis of N-elliptic localized solutions for the Fokas--Lenells equation
Feng-Bao Feng, Wang Tang, Guo-Fu Yu
This paper investigates the N-elliptic localized solutions of the Foka-Lenells equation. Based on the corresponding Lax pair, the Weierstrass elliptic functions are adopted to cons…
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…
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…
Soliton dynamics to the coupled Higgs equation and its multi-component generalization
Wang Tang
In this paper, we study the coupled Higgs equation and its multi-component generalization based on the Hirota's direct method. One and two-soliton solutions of the coupled Higgs eq…
Oscillatory integral operators with homogeneous polynomial phases in several variables
Allan Greenleaf, Malabika Pramanik, Wan Tang
We obtain decay estimates in for oscillatory integral operators whose phase functions are homogeneous polynomials of degree m and satisfy various genericity assumptions.…