TY - JOUR
T1 - The Klein-Gordon Equation on the Half Line
T2 - a Riemann-Hilbert Approach
AU - Pelloni, Beatrice
AU - Pinotsis, Dimitrios A.
PY - 2008
Y1 - 2008
N2 - We solve an initial-boundary problem for the Klein-Gordon equation on the half line using the Riemann-Hilbert approach to solving linear boundary value problems advocated by Fokas. The approach we present can be also used to solve more complicated boundary value problems for this equation, such as problems posed on time-dependent domains. Furthermore, it can be extended to treat integrable nonlinearisations of the Klein-Gordon equation. In this respect, we briefly discuss how our results could motivate a novel treatment of the sine-Gordon equation.
AB - We solve an initial-boundary problem for the Klein-Gordon equation on the half line using the Riemann-Hilbert approach to solving linear boundary value problems advocated by Fokas. The approach we present can be also used to solve more complicated boundary value problems for this equation, such as problems posed on time-dependent domains. Furthermore, it can be extended to treat integrable nonlinearisations of the Klein-Gordon equation. In this respect, we briefly discuss how our results could motivate a novel treatment of the sine-Gordon equation.
UR - https://www.scopus.com/pages/publications/55449119015
U2 - 10.2991/jnmp.2008.15.s3.32
DO - 10.2991/jnmp.2008.15.s3.32
M3 - Article
SN - 1402-9251
VL - 15
SP - 334
EP - 336
JO - Journal of Nonlinear Mathematical Physics
JF - Journal of Nonlinear Mathematical Physics
IS - Supplement 3
ER -