On the invariant solutions of the Korteweg-de Vries-burgers equation

Lakshmanan, M. ; Kaliappan, P. (1979) On the invariant solutions of the Korteweg-de Vries-burgers equation Physics Letters A, 71 (2-3). pp. 166-168. ISSN 0375-9601

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/037596...

Related URL: http://dx.doi.org/10.1016/0375-9601(79)90153-1

Abstract

Lie's method of continuous transformation groups is applied to deduce a class of invariant (similarity) solutions of the Korteweg-de Vries-Burgers equation. The invariant solutions are shown to satisfy a movable critical points variant of the first Painleve's transcendental equation.

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