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Lakshmanan, M.; Kaliappan, P.

Lie transformations, nonlinear evolution equations, and Painleve forms. (English) Zbl 0525.35022

J. Math. Phys. 24, 795-806 (1983).
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Cited in 54 Documents

MSC:

35G20 Nonlinear higher-order PDEs
35Q99 Partial differential equations of mathematical physics and other areas of application
34A34 Nonlinear ordinary differential equations and systems
35A30 Geometric theory, characteristics, transformations in context of PDEs

Keywords:

Lie transformations; nonlinear evolution equations; Painleve forms; solitons; Painleve equations; inverse scattering transform; invariance properties
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\textit{M. Lakshmanan} and \textit{P. Kaliappan}, J. Math. Phys. 24, 795--806 (1983; Zbl 0525.35022)
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