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Modulation theory. Antonmaria Minzoni Alessio in memoriam. (Spanish) Zbl 1439.01054

MSC:

01A70 Biographies, obituaries, personalia, bibliographies
35-03 History of partial differential equations
76-03 History of fluid mechanics

Biographic References:

Minzoni, Antonmaria A.
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References:

[1] M. J. Ablowitz y P. A. Clarkson,Solitons, nonlinear evolution equations and inverse scattering, Cambridge university press, 1991. · Zbl 0762.35001
[2] A. B. Aceves, L. A. Cisneros-Ake y A. A. Minzoni,((Asymptotics for supersonic traveling waves in the Morse lattice)),Discrete and Continuous Dynamical Systems - Series S, vol. 4, n´um. 5, 2011, 975-994. · Zbl 1284.37057
[3] G. Assanto, ed.,Nematicons: Spatial optical solitons in Nematic Liquid Crystals, John Willey, 2012.
[4] M. Booty, R. Haberman y A. Minzoni,((The accommodation of traveling waves of Fisher’s type to the dynamics of the leading tail)),SIAM Journal of Applied Mathematics, vol. 53, n´um. 4, 1993, 1009-1025. · Zbl 0790.35043
[5] O. M. Braun y Y. S. Kivshar,The Frenkel-Kontorova model: Concepts, method and applications, Springer-Verlag, 2004. · Zbl 1140.82001
[6] L. A. Cisneros y A. A. Minzoni,((Asymptotics for kink propagation in the discrete Sine-Gordon equation)),Physica D, vol. 237, 2008, 50. · Zbl 1173.35083
[7] ,((Asymptotics for supersonic soliton propagation in the Toda lattice equation)),Studies in Applied Mathematics, vol. 120:333, 2008, 333-349. · Zbl 1188.35159
[8] L. A. Cisneros-Ake y A. A. Minzoni,((Effect of hydrogen bound anharmonicity on supersonic discrete Davydov propagation)),Phys. Rev. E, vol. 85, 2012, 021925.
[9] G. El y N. Smyth,((Radiating dispersive shock waves in nonlocal optical media)),Proc. R. Soc. A, 2016, , to appear. · Zbl 1371.78043
[10] A. T. Filippov,The versatile soliton, Birkhauser, 2010. LA TEOR´IA DE MODULACIONES83 · Zbl 1205.35001
[11] I. Gelfand y S. Fomin,Calculus of variations, Prentice-Hall, Englewood Cliffs, NJ, 1963. · Zbl 0127.05402
[12] W. L. Kath y N. F. Smyth,((Soliton evolution and radiation loss for the Korteweg-de Vries equation)),Phys. Rev. E, vol. 51, 1995, 661.
[13] ,((Soliton evolution and radiation loss for the nonlinear Schrodinger equation)), Phys. Rev. E, vol. 51, 1995, 1484.
[14] A. Minzoni,((Nonlinear edge waves and shallow water theory)),Journal of Fluid Mechanics, vol. 74, 1976, 369-374. · Zbl 0352.76016
[15] ,((A review of some recent results in the perturbation theory for solitary waves)),Bolet´ın de la Sociedad Matem´atica Mexicana, vol. 3, n´um. 3, 1997, 1-49. · Zbl 0883.35102
[16] A. Minzoni y G. Whitham,((On the excitation of edge waves on beaches)),Journal of Fluid Mechanics, vol. 79 part. 2, 1977, 273-287. · Zbl 0345.76010
[17] N. F. Smyth y A. L. Worthy,((Soliton evolution and radiation loss for the sine-Gordon equation)),Phys. Rev. E, vol. 60, 1999, 2330.
[18] H. Susanto y P. C. Matthews,((Variational approximations to homoclinic snaking)), Phys. Rev E, 2011, 035201.
[19] M. Syafwan, H. Susanto, S. M. Cox y B. A. Malomed,((Variational approximations for travelling solitons in a discrete nonlinear Schrodinger equation)),J. Phys. A: Math. Theor, vol. 45, 2012, 075207. · Zbl 1234.35255
[20] G.
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