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math.AP2020★ 7 cited
Well-posedness of a highly nonlinear shallow water equation on the circle
Nilay Duruk Mutlubas, Anna Geyer, Ronald Quirchmayr
We present a comprehensive introduction and overview of a recently derived model equation for waves of large amplitude in the context of shallow water waves and provide a literatur…
math.AP2018
On the spectral problem associated with the time-periodic nonlinear Schrödinger equation
Jonatan Lenells, Ronald Quirchmayr
According to its Lax pair formulation, the nonlinear Schrödinger (NLS) equation can be expressed as the compatibility condition of two linear ordinary differential equations with a…