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math.AP2017
Nonlinear Fourier transforms for the sine-Gordon equation in the quarter plane
Lin Huang, Jonatan Lenells
The solution of the sine-Gordon equation in the quarter plane can be expressed in terms of the solution of a matrix Riemann-Hilbert problem whose definition involves four spectral…
math.AP2017★ 1 cited
Construction of solutions and asymptotics for the sine-Gordon equation in the quarter plane
Lin Huang, Jonatan Lenells
We consider the sine-Gordon equation in laboratory coordinates in the quarter plane. The first part of the paper considers the construction of solutions via Riemann-Hilbert techniq…