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math.AP2018
The Gerdjikov-Ivanov type derivative nonlinear Schrödinger equation: Long-time dynamics of nonzero boundary conditions
Boling Guo, Nan Liu
We consider the Gerdjikov--Ivanov type derivative nonlinear Schrödinger equation \berr \ii q_{t}+q_{xx}-\ii q^2\bar{q}_{x}+\frac{1}{2}(|q|^4-q_0^4)q=0 \eerr on the line. The initia…
math.AP2018★ 28 cited
Long-time asymptotics for the Hirota equation on the half-line
Boling Guo, Nan Liu
We consider the Hirota equation on the quarter plane with the initial and boundary values belonging to the Schwartz space. The goal of this paper is to study the long-time behavior…
math.AP2018★ 2 cited
Long-time asymptotics for the Sasa-Satsuma equation via nonlinear steepest descent method
Boling Guo, Nan Liu
We formulate a Riemann-Hilbert problem to solve the Cauchy problem for the Sasa-Satsuma equation on the line, which allows us to give a representation for the solution o…