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math.AP2023
Existence and Instability of Standing Wave for the Two-wave Model with Quadratic Interaction
Zaihui Gan, Yue Wang
In this paper, we establish the existence and instability of standing wave for a system of nonlinear Schrödinger equations arising in the two-wave model with quadratic interaction…
math.AP2022
Sharp Lower Bound for the Blow-up Rate of Solutions to the Magnetic Zakharov System without the Skin Effect
Zaihui Gan, Yuchen Wang, Yue Wang +1
In this paper, we consider the Cauchy problem of the magnetic Zakharov system in two-dimensional space: \[ \begin{cases} & i E_{1t}+ΔE_1-n E_1+ηE_2 (E_1\overline{E_2}-\overline{E_1…