Group classification of nonlinear schrödinger equations

Ukrainian Mathematical Journal

Volumn 53, Issue 8, 2001, Pages 1255-1265

  Nikitin, A G ^a   Popovych, R O ^a  

^a INSTITUTE OF MATHEMATICS   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4544363229     PISSN: 00415995     EISSN: 15739376     Source Type: Journal    
DOI: 10.1023/A:1013347626895     Document Type: Article

References (11)

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4. R. Z. Zhdanov and V. I. Lahno, "Group classification of heat conductivity equations with a nonlinear source," J. Phys. A: Math. Gen., 32, 7405-7418 (1999).
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6. L. V. Ovsyannikov, Group Analysis of Differential Equations [in Russian], Nauka, Moscow (1978).
7. P. J. Olver, Applications of Lie Groups to Differential Equations, Springer, New York (1986).
8. V. I. Fushchich, "Symmetry in problems in mathematical physics," in: Algebra-Theoretic Investigations in Mathematical Physics [in Russian], Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1981), pp. 6-28.
9. W. I. Fushchich and N. I. Serov, "On some exact solutions of the three-dimensional non-linear Schrödinger equation," J. Phys. A: Math. Gen., 20, No. 6, L929-L933 (1987).
10. V. I. Fushchich, V. M. Shtelen', and N. I. Serov, Symmetry Analysis and Exact Solutions of Nonlinear Equations of Mathematical Physics [in Russian], Naukova Dumka, Kiev (1989).
11. V. Chopyk, "Symmetry and reduction of multi-dimensional Schrödinger equation with the logarithmic nonlinearity," in: Symmetry Analysis of Equations of Mathematical Physics [in Russian], Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1992), pp. 55-62.