Perturbation around exact solutions for nonlinear dynamical systems : application to the perturbed Burgers equation

M. Irac-Astaud

Annales de l'I.H.P. Physique théorique (1990)

  • Volume: 53, Issue: 3, page 343-358
  • ISSN: 0246-0211

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Irac-Astaud, M.. "Perturbation around exact solutions for nonlinear dynamical systems : application to the perturbed Burgers equation." Annales de l'I.H.P. Physique théorique 53.3 (1990): 343-358. <http://eudml.org/doc/76508>.

@article{Irac1990,
author = {Irac-Astaud, M.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {perturbation; Burgers equation},
language = {eng},
number = {3},
pages = {343-358},
publisher = {Gauthier-Villars},
title = {Perturbation around exact solutions for nonlinear dynamical systems : application to the perturbed Burgers equation},
url = {http://eudml.org/doc/76508},
volume = {53},
year = {1990},
}

TY - JOUR
AU - Irac-Astaud, M.
TI - Perturbation around exact solutions for nonlinear dynamical systems : application to the perturbed Burgers equation
JO - Annales de l'I.H.P. Physique théorique
PY - 1990
PB - Gauthier-Villars
VL - 53
IS - 3
SP - 343
EP - 358
LA - eng
KW - perturbation; Burgers equation
UR - http://eudml.org/doc/76508
ER -

References

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  1. [1] W.F. Ames, Nonlinear Partial Differential Equations in Engineering, Academic Press, Inc., Vol. 18, 1965, p. 208. Zbl0176.39701MR210342
  2. [2] I.N. Sneddon, Elements of Partial Differential Equations, McGraw-Hill, New York, 1985. MR82600
  3. [3] D.J. Kaup, A Perturbation Expansion for the Zakharov-Shabat Inverse Scattering Transform, Siam J. Appl. Math., Vol. 31, 1, 1976, p. 121; R.M. Miura, The Korteweg-DeVries Equation: A Survey of Results. Siam. Rev., Vol. 18, 3, 1976, p. 412. Zbl0334.47006MR410147
  4. [4] E. Hopf, Commun. Pure Appl. Math., Vol. 3, 201, 1950; J.D. Cole, Quart. Appl. Math., Vol. 9, 225, 1951. Zbl0039.10403MR47234
  5. [5] M. Irac-Astaud, Proceedings du XVIIe Colloque International sur la Théorie des Groupes en Physique, 1988, Sainte Adèle, Québec. 
  6. [6] R.M. Miura, J. Math. Phys., Vol. 9, 1968, p. 1202. Zbl0283.35018

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