integrable continuous dynamical systems

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1: 32.16 Physical Applications

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Integrable Continuous Dynamical Systems

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2: 18.39 Applications in the Physical Sciences

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Introduction and One-Dimensional (1D) Systems

… ►As in classical dynamics this sum is the total energy of the one particle system. … ►The finite system of functions ${\psi }_n$ is orthonormal in $L^2(ℝ,dx)$, see (18.34.7_3). … ►

§18.39(v) Other Applications

►For applications of Legendre polynomials in fluid dynamics to study the flow around the outside of a puff of hot gas rising through the air, see Paterson (1983). …

3: Bibliography B

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A Fortran-90 based multiprecision system. ACM Trans. Math. Software 21 (4), pp. 379–387.

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ISSN 0098-3500, Document, ZentralBlatt

Referenced by:

§4.48(iii).

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Polynomials defined by a difference system. J. Math. Anal. Appl. 2 (2), pp. 223–263.

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Document, MathReview (F. L. Spitzer), ZentralBlatt

Referenced by:

§18.33(v).

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Algebro-geometric Approach to Nonlinear Integrable Problems. Springer Series in Nonlinear Dynamics, Springer-Verlag, Berlin.

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ISBN 3-540-50265-3, ZentralBlatt

Referenced by:

§21.1, 1st item, §21.6(ii), §21.7(i), §21.7(i), §21.9, Ch.21, Profile Alexander I. Bobenko, Profile Alexander A. Its, Notations T.

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Integrable Hamiltonian systems and the Painlevé property. Phys. Rev. A (3) 25 (3), pp. 1257–1264.

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ISSN 0556-2791, Document, MathReview

Referenced by:

§32.16.

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Error estimates for the solution of linear systems. SIAM J. Sci. Comput. 21 (2), pp. 764–781.

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ISSN 1095-7197, Document, MathReview (Dimitrios Noutsos), ZentralBlatt

Referenced by:

§3.2(iii).

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