The Inverse Problem Method on the Half-Line and a Nested System of Riccati Equations

Author:

Freiling Gerhard,Yurko Vjacheslav

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Mathematics (miscellaneous)

Reference23 articles.

1. Ablowitz M J, Clarkson P A, Solitons, Nonlinear Evolution Equations and Inverse Scattering, London Math. Soc. Lecture Note Series, 149, Cambridge University Press, Cambridge, 1991.

2. Ablowitz M J, Segur H, The inverse scattering transform: semi-infinite interval, J. Math. Phys. 16 (1975), 1054–1056.

3. Abou-Kandil H, Freiling G, Ionescu V, Jank G, Matrix Riccati Equations in Control and Systems Theory, Birkhäuser, Basel, 2003.

4. Bikbaev R F, Tarasov V O, Initial boundary value problem for the nonlinear Shrödinger equation, J. Phys. A: Math. Gen., 24 (1991), 2507–2516.

5. Bogoyavlenskii O I, Overturning solitons in two-dimensional integrable equations. (Russian) Uspekhi Mat. Nauk 45 (1990), no. 4(274), 17–77; translation in Russian Math. Surveys 45 (1990), no. 4, 1-86.

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