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New Soliton Solutions to the Initial Value Problem for the Two-Component Short Pulse Equation

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Document pages: 10 pages

Abstract: We formulate a matrix Riemann-Hilbert problem to theinitial value problem for the two-component system proposed by Matsuno. Bysolving the associated Riemann-Hilbert problem, we can get the solitonsolutions of the two-component system. One and two soliton solutions areinvestigated in detail.

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