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• W1539165563 startingPage "129" @default.
• W1539165563 abstract "We consider an approximate integration method of the Cauchy problem for the generalized Liouville equation using symbolic and numeric computer computations. This method is based on the probability den- sity function orthonormal series expansion in the small and initial time space domains. We are investigating several expansions and determine their convergence conditions to ensure the convergence of the asymptotic expansion to the solution of the considered problem. To illustrate the applicability of the introduced asymptotic orthogonal decompositions (18) we took the describing bidimensional integrable dis- persive shallow water equation developed by Roberto Camassa and Darryl D. Holm, Los Alamos National Laboratory. Since CH-equation solutions are represented by a superposition of arbitrary number of peakons (peaked solitons) (9),(16), one can compare the coincidence of the peakon solu- tions character provided by numerical modeling along some trajectories for truncated asymptotic series expansions obtained by symbolic compu- tations." @default.
• W1539165563 created "2016-06-24" @default.
• W1539165563 creator A5044663775 @default.
• W1539165563 creator A5059951003 @default.
• W1539165563 date "2007-07-01" @default.
• W1539165563 modified "2023-09-26" @default.
• W1539165563 title "AN APPROXIMATE ORTHOGONAL DECOMPOSITION METHOD FOR THE SOLUTION OF THE GENERALIZED LIOUVILLE EQUATION" @default.
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• W1539165563 hasPublicationYear "2007" @default.
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