Thermodynamical description of the solutions of the nonlinear Schrödinger equation under slow perturbations

Author:

Bon P.,Galaverni M.,Minelli T. A.,Pascolini A.

Publisher

Springer Science and Business Media LLC

Subject

General Medicine

Reference10 articles.

1. T. A. Minelli andA. Pascolini:Nuovo Cimento B,85, 1 (1985).

2. V. E. Zakharov andA. B. Shabat:Sov. Phys. JETP,34, 62 (1972).

3. M. J. Ablowitz, D. J. Kaup, A. C. Newell andH. Segur:Stud. Appl. Math.,53, 249 (1974).

4. For a review of Madelung fluid seeE. A. Spiegel:Physica (Utrecht) D,1, 236 (1980);R. W. Hasse:Z. Phys. B,37, 83 (1980), and references therein quoted.

5. For the breaking of the conservation laws consequent to a perturbation of the original evolution equation and for the corresponding slow evolution of the eigenvalues of the other motion constants seeV. I. Karpman andE. Maslov:JETP,46, 281 (1977);D. J. Kaup andA. C. Newell:Proc. R. Soc. London, Ser. A,361, 413 (1978);S. Watanabe, M. Miyakawa andN. Yajima:J. Phys. Soc. Jpn.,46, 1653 (1979);M. R. Gupta andJ. Ray:J. Math. Phys. (N. Y.),22, 2180 (1981);P. Lochak:J. Math. Phys. (N. Y.),25, 2472 (1984);M. N. Bussac, P. Lochak, C. Meunier andA. Heron-Gourdin:Physica (Utrecht) D,17, 313 (1985);R. K. Bullough, A. P. Fordy andS. V. Manakov:Phys. Lett. A,91, 98 (1982).

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