Conservation laws for the nonlinear Schrödinger equation

Eugène Gutkin

Annales de l'I.H.P. Analyse non linéaire (1985)

  • Volume: 2, Issue: 1, page 67-74
  • ISSN: 0294-1449

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Gutkin, Eugène. "Conservation laws for the nonlinear Schrödinger equation." Annales de l'I.H.P. Analyse non linéaire 2.1 (1985): 67-74. <http://eudml.org/doc/78089>.

@article{Gutkin1985,
author = {Gutkin, Eugène},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {conservation laws; quantum nonlinear Schrödinger equation},
language = {eng},
number = {1},
pages = {67-74},
publisher = {Gauthier-Villars},
title = {Conservation laws for the nonlinear Schrödinger equation},
url = {http://eudml.org/doc/78089},
volume = {2},
year = {1985},
}

TY - JOUR
AU - Gutkin, Eugène
TI - Conservation laws for the nonlinear Schrödinger equation
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1985
PB - Gauthier-Villars
VL - 2
IS - 1
SP - 67
EP - 74
LA - eng
KW - conservation laws; quantum nonlinear Schrödinger equation
UR - http://eudml.org/doc/78089
ER -

References

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  1. [1] E. Lieb and W. Liniger, Phys. Rev., t. 130, 1963, p. 1605. Zbl0138.23001MR156630
  2. [2] C.N. Yang, Phys. Rev. Lett., t. 19, 1967, p. 1312. Zbl0152.46301MR261870
  3. [3] H.B. Thacker, Phys. Rev., t. D17, 1978, p. 1031. 
  4. [4] Articles in Integrable Quantum Field Theories, Proceedings, Tvarminne, Finland 1981, Lecture Notes in Physics, 151, Springer-Verlag, New York, 1982. Zbl0488.00024MR671261
  5. [5] Another intertwining operator P was constructed in E. GUTKIN, Duke Mat. J., t. 49, 1, 1982 on the space of all functions not regarding the symmetry. 
  6. [6] V.E. Zakharov and A.B. Shabat, Zh. Eksp. Teor. Fiz., t. 61, 1971, p. 118; Sov. Phys., JETP, t. 34, 1972, p. 62. 
  7. [7] V.E. Zakharov and S.V. Manakov, Teor. Mat. Fiz., t. 19, 1974, p. 332. Theor. Math. Phys., t. 19, 1975, p. 551. Zbl0293.35025

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