Algebraic operator method for the construction of solitary solutions to nonlinear differential equations

Solutions of the KdV equation are derived by the algebraic operator method based on generalized operators of differentiation. The algebraic operator method based on the generalized operator of differentiation is exploited for the derivation of analytic solutions to the KdV equation. The structure of...

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Bibliographic Details
Published in:	Communications in nonlinear science & numerical simulation Vol. 18; no. 6; pp. 1374 - 1389
Main Authors:	Navickas, Zenonas, Bikulciene, Liepa, Rahula, Maido, Ragulskis, Minvydas
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01.06.2013
Subjects:	Algebra Condition of existence Derivation Differentiation Exact solutions Generalized operator of differentiation KdV equation Mathematical analysis Mathematical models Nonlinearity Operators Solitary solution KdV equation Condition of existence Generalized operator of differentiation Solitary solution
ISSN:	1007-5704, 1878-7274
Online Access:	Get full text
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