stationary solutions
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7 matching pages
1: 18.39 Applications in the Physical Sciences
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►The solutions (18.39.8) are called the stationary states as separation of variables in (18.39.9) yields solutions of form
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2: Bibliography C
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Stationary solutions of the one-dimensional nonlinear Schrödinger equation. I. Case of repulsive nonlinearity.
Phys. Rev. A 62 (063610), pp. 1–10.
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3: 22.19 Physical Applications
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►Such solutions include standing or stationary waves, periodic cnoidal waves, and single and multi-solitons occurring in diverse physical situations such as water waves, optical pulses, quantum fluids, and electrical impulses (Hasegawa (1989), Carr et al. (2000), Kivshar and Luther-Davies (1998), and Boyd (1998, Appendix D2.2)).
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4: Bibliography O
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Hyperasymptotic solutions of second-order linear differential equations. I.
Methods Appl. Anal. 2 (2), pp. 173–197.
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On the asymptotic and numerical solution of linear ordinary differential equations.
SIAM Rev. 40 (3), pp. 463–495.
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Error bounds for stationary phase approximations.
SIAM J. Math. Anal. 5 (1), pp. 19–29.
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Numerical solution of Riemann-Hilbert problems: Painlevé II.
Found. Comput. Math. 11 (2), pp. 153–179.
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Solution of Equations in Euclidean and Banach Spaces.
Pure and Applied Mathematics, Vol. 9, Academic Press, New York-London.
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5: 36.11 Leading-Order Asymptotics
6: Bibliography B
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Some solutions of the problem of forced convection.
Philos. Mag. Series 7 20, pp. 322–343.
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Uniform asymptotic expansions of integrals with stationary point near algebraic singularity.
Comm. Pure Appl. Math. 19, pp. 353–370.
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Uniform asymptotic expansions of integrals with many nearby stationary points and algebraic singularities.
J. Math. Mech. 17, pp. 533–559.
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The fifty-two icosahedral solutions to Painlevé VI.
J. Reine Angew. Math. 596, pp. 183–214.
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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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