Sine-Gordon equation on the semi-axis |
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| Authors: | I. T. Khabibullin |
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| Affiliation: | (1) Institute of Mathematics, Ural Science Center, Russian Academy of Sciences, Ufa, Russia |
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| Abstract: | We investigate the sine-Gordon equation utt?uxx+sinu=0 on the semi-axis x>0. We show that boundary conditions of the forms ux(0,t)=c1 cos(u(0,t)/2)+c2 sin(u(0,t)/2) and u(0,t)=c are compatible with the Bäcklund transformation. We construct a multisoliton solution satisfying these boundary conditions. |
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