3 papers
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…
nlin.SI2025
Vector rogue wave patterns of the multi-component nonlinear Schrödinger equation and generalized mixed Adler--Moser polynomials
Huian Lin, Liming Ling
This paper investigates the asymptotic behavior of high-order vector rogue wave (RW) solutions for any multi-component nonlinear Schrödinger equation (denoted as -NLSE) with mul…
nlin.SI2024
Rogue wave patterns associated with Adler--Moser polynomials featuring multiple roots in the nonlinear Schrödinger equation
Huian Lin, Liming Ling
In this work, we analyze the asymptotic behaviors of high-order rogue wave solutions with multiple large parameters and discover novel rogue wave patterns, including claw-like, OTR…