Soliton equations and hyperbolic maps

Luke Hodgkin

Annales de l'I.H.P. Physique théorique (1983)

  • Volume: 38, Issue: 1, page 49-58
  • ISSN: 0246-0211

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Hodgkin, Luke. "Soliton equations and hyperbolic maps." Annales de l'I.H.P. Physique théorique 38.1 (1983): 49-58. <http://eudml.org/doc/76181>.

@article{Hodgkin1983,
author = {Hodgkin, Luke},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {soliton equations; hyperbolic maps; nonlinear evolution equation; metric of curvature; scattering equation; sine-Gordon equations; Bäcklund transformation},
language = {eng},
number = {1},
pages = {49-58},
publisher = {Gauthier-Villars},
title = {Soliton equations and hyperbolic maps},
url = {http://eudml.org/doc/76181},
volume = {38},
year = {1983},
}

TY - JOUR
AU - Hodgkin, Luke
TI - Soliton equations and hyperbolic maps
JO - Annales de l'I.H.P. Physique théorique
PY - 1983
PB - Gauthier-Villars
VL - 38
IS - 1
SP - 49
EP - 58
LA - eng
KW - soliton equations; hyperbolic maps; nonlinear evolution equation; metric of curvature; scattering equation; sine-Gordon equations; Bäcklund transformation
UR - http://eudml.org/doc/76181
ER -

References

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  1. [1] M. Crampin, F.A.E. Pirani and D.C. Robinson, Lett. Math. Phys., t. 2, 1977, p. 15. Zbl0363.35032MR489530
  2. [2] M. Crampin, L. Hodgkin, P.J. Mccarthy and D.C. Robinson, 2-manifolds of constant curvature, 3-parameter isometry groups and Bäcklund transformations, to appear in Rep. Math. Phys. Zbl0496.35074
  3. [3] R. Hermann, The geometry of non-linear differential equations, Bäcklund transformations and solitons, Part A (Math. Sci. Press, Brookline, MA, 1976). Zbl0367.35001MR442961
  4. [4] M. Crampin, Phys. Lett. t. 66A, 1978, p. 170. MR598750
  5. [5] R. Sasaki and R.K. Bullough, in Nonlinear Evolution Equations and Dynamical Systems (ed. Boiti et al.), Lecture Notes in Physics, no. 120 (Springer, Berlin, Heidelberg, New York, 1980). MR581888
  6. [6] M.J. Ablowitz, D.J. Kaup, A.C. Newell and H. Segur, Phys. Rev. Lett., t. 31, 1973, p. 125. MR406176
  7. [7] L.P. Eisenhart, A. Treatise on the Differential Geometry of Curves and Surfaces (Dover, New York, 1960). Zbl0090.37803MR115134
  8. [8] F.A.E. Pirani, in Nonlinear Evolution Equations and Dynamical Systems (ed. Boiti et al.), Lecture Notes in Physics, no. 120 (Springer, Berlin, Heidelberg, New York, 1980). MR581897

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