This article is cited in 2 scientific papers (total in 2 papers)
Systems of equations of $n$-waves and nonlinear Schrödinger equations from the group-theoretical point of view
A. V. Zhiber
The paper is devoted to group-theoretical analysis of a system of equations of $n$-waves and a system of nonlinear Schrödinger equations. The Lie–Bäcklund algebras of these equations are fully described. These algebras are commutative, and there is a one-toone correspondence between them and the commutative Lie algebras of the conservation laws. The connection between the Lie–Bäcklund algebras of the considered systems of equations is found.
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Theoretical and Mathematical Physics, 1982, 52:3, 882–888
A. V. Zhiber, “Systems of equations of $n$-waves and nonlinear Schrödinger equations from the group-theoretical point of view”, TMF, 52:3 (1982), 405–413; Theoret. and Math. Phys., 52:3 (1982), 882–888
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\paper Systems of equations of $n$-waves and nonlinear Schr\"odinger equations from the group-theoretical point of view
\jour Theoret. and Math. Phys.
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S. S. Titov, “Solution of nonlinear equations in analytic polyalgebras. I”, Russian Math. (Iz. VUZ), 44:1 (2000), 65–75
A. V. Kiselev, “Methods of geometry of differential equations in analysis of integrable models of field theory”, J. Math. Sci., 136:6 (2006), 4295–4377
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