An integrable generalization of the sine-Gordon equation on the half-line

Details An integrable generalization of the sine-Gordon equation on the half-line An integrable generalization of the sine-Gordon equation on the half-line

2009-11-04

arxiv.org/abs/0911.0848v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

18 pages, 5 figures; some minor corrections

Scientific paper

We analyze a generalization of the sine-Gordon equation in laboratory
coordinates on the half-line. Using the Fokas transform method for the analysis
of initial-boundary value problems for integrable PDEs, we show that the
solution $u(x,t)$ can be constructed from the initial and boundary values via
the solution of a $2\times 2$-matrix Riemann-Hilbert problem.

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