evolution equations
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1—10 of 11 matching pages
1: 29.19 Physical Applications
2: Peter A. Clarkson
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►His well-known book Solitons, Nonlinear Evolution Equations and Inverse Scattering (with M.
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3: Mark J. Ablowitz
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►Some of the relationships between IST and Painlevé equations are discussed in two books: Solitons and the Inverse Scattering Transform and Solitons, Nonlinear Evolution Equations and Inverse Scattering.
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4: 23.21 Physical Applications
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§23.21(ii) Nonlinear Evolution Equations
…5: Bibliography K
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The Korteweg-de Vries Equation and Related Evolution Equations.
In Nonlinear Wave Motion (Proc. AMS-SIAM Summer Sem., Clarkson
Coll. Tech., Potsdam, N.Y., 1972), A. C. Newell (Ed.),
Lectures in Appl. Math., Vol. 15, pp. 61–83.
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6: Bibliography
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Solitons, Nonlinear Evolution Equations and Inverse Scattering.
London Mathematical Society Lecture Note Series, Vol. 149, Cambridge University Press, Cambridge.
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7: 9.16 Physical Applications
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►These first appeared in connection with the equation governing the evolution of long shallow water waves of permanent form, generally called solitons, and are predicted by the Korteweg–de Vries (KdV) equation (a third-order nonlinear partial differential equation).
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8: Bibliography C
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Nonclassical Symmetry Reductions and Exact Solutions for Physically Significant Nonlinear Evolution Equations.
In Nonlinear and Chaotic Phenomena in Plasmas, Solids and Fluids
(Edmonton, AB, 1990), W. Rozmus and J. A. Tuszynski (Eds.),
pp. 72–79.
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9: Bibliography S
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Asymptotic solutions of nonlinear evolution equations and a Painlevé transcendent.
Phys. D 3 (1-2), pp. 165–184.
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10: 22.19 Physical Applications
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►Classical motion in one dimension is described by Newton’s equation
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►The subsequent time evolution is always oscillatory with period and modulus :
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