The Riemann–Hilbert approach to the Helmholtz equation in a quarter-plane: Neumann, Robin and Dirichlet boundary conditions
Sign Up to like & getrecommendations! Published in 2017 at "Letters in Mathematical Physics"
DOI: 10.1007/s11005-017-1030-3
Abstract: We revisit the Helmholtz equation in a quarter-plane in the framework of the Riemann–Hilbert approach to linear boundary value problems suggested in late 1990s by A. Fokas. We show the role of the Sommerfeld radiation… read more here.
Keywords: riemann hilbert; equation quarter; helmholtz equation; quarter plane ... See more keywords
Riemann–Hilbert approach for multi-soliton solutions of a fourth-order nonlinear Schrödinger equation
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DOI: 10.1142/s0217984919504165
Abstract: In this paper, we consider the Riemann–Hilbert (RH) method for a fourth-order nonlinear Schrodinger (NLS) equation, which is reduced on the basis of the generalized Davydov’s model by selecting som... read more here.
Keywords: riemann hilbert; equation; fourth order; order nonlinear ... See more keywords