Conservation Laws for a Degasperis Procesi Equation and a Coupled Variable-Coefficient Modified Korteweg-de Vries System in a Two-Layer Fluid Model via the Multiplier Approach | Zendy

El-Sayed Osman | Zendy; Mohammed Khalfallah | Zendy; Hussien Sapoor | Zendy

Open Access

Conservation Laws for a Degasperis Procesi Equation and a Coupled Variable-Coefficient Modified Korteweg-de Vries System in a Two-Layer Fluid Model via the Multiplier Approach

Author(s) -

El-Sayed Osman,

Mohammed Khalfallah,

Hussien Sapoor

Publication year - 2014

Publication title -

international journal of partial differential equations

Language(s) - English

Resource type - Journals

eISSN - 2356-7082

pISSN - 2314-6524

DOI - 10.1155/2014/904252

Subject(s) - multiplier (economics) , conservation law , variable coefficient , variable (mathematics) , mathematics , korteweg–de vries equation , mathematical analysis , physics , nonlinear system , economics , macroeconomics , quantum mechanics

We employ the multiplier approach (variational derivative method) to derive the conservation laws for the Degasperis Procesi equation and a coupled variable-coefficient modified Korteweg-de Vries system in a two-layer fluid model. Firstly, the multipliers are computed and then conserved vectors are obtained for each multiplier

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