An Initial-Boundary Value Problem for the Korteweg–de Vries Equation with Dominant Surface Tension
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s10440-013-9830-7.pdf
Reference10 articles.
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2. Fokas, A.S., Its, A.R.: The linearization of the initial boundary value problem of the nonlinear Schrödinger equation. SIAM J. Math. Anal. 27, 738–764 (1996)
3. Fokas, A.S.: Integrable nonlinear evolution equations on the half-line. Commun. Math. Phys. 230, 1–39 (2002)
4. Habibullin, I.T.: The KdV equation on a half-line with a zero boundary condition. Teor. Mat. Fiz. 119, 397–404 (1999). Engl. Transl.: Theor. Math. Phys. 119, 712–718
5. Habibullin, I.T.: Initial boundary value problem for the KdV equation on a semiaxis with homogeneous boundary conditions. Teor. Mat. Fiz. 130(1), 31–53 (2002). Engl. Transl.: Theor. Math. Phys. 130(1), 25–44
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1. THE BÄCKLUND TRANSFORMATION BETWEEN A COMMON SOLUTION OF BOTH LINEAR EQUATIONS IN THE LAX PAIR AND THE SOLUTION OF THE ASSOCIATED INITIAL-BOUNDARY VALUE PROBLEM FOR NONLINEAR EVOLUTION EQUATIONS ON THE HALF-LINE;Journal of Mathematical Sciences;2024-05-10
2. The description of reflection coefficients of the scattering problems for finding solutions of the Korteweg–de Vries equations;Journal of Nonlinear Mathematical Physics;2021
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