【摘 要】
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In this paper,we apply Fokas unified method to study the initial boundary value(IBV) problems for nonlinear integrable equation with 3 × 3 Lax pair on the finite interval[0,L].The solution can be expressed by the solution of a 3 × 3 Riemann-Hilbert (RH)pr
【机 构】
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College of Information and Management Science,Henan Agricultural University,Zhengzhou 450046,China;C
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In this paper,we apply Fokas unified method to study the initial boundary value(IBV) problems for nonlinear integrable equation with 3 × 3 Lax pair on the finite interval[0,L].The solution can be expressed by the solution of a 3 × 3 Riemann-Hilbert (RH)problem.The relevant jump matrices are written in terms of matrix-value spectral functions s(k),S(k),Sl(k),which are determined by initial data at t =0,boundary values at x =0 and boundary values at x =L,respectively.What\'s more,since the eigenvalues of 3 × 3 coefficient matrix of k spectral parameter in Lax pair are three different values,search for the path of analytic functions in RH problem becomes a very interesting thing.
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