Double Reduction Analysis of Benjamin, DGH and Generalized DGH Equations | Zendy

Muhammad Danish Khan | Zendy

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Double Reduction Analysis of Benjamin, DGH and Generalized DGH Equations

Author(s) -

Muhammad Danish Khan

Publication year - 2020

Publication title -

international journal of applied mathematics and informatics

Language(s) - English

Resource type - Journals

ISSN - 2074-1278

DOI - 10.46300/91014.2020.14.8

Subject(s) - mathematics , conserved quantity , multiplier (economics) , independent equation , partial differential equation , integro differential equation , conservation law , mathematical analysis , riccati equation , mathematical physics , economics , macroeconomics

The exact solutions of non-linear evolution equation, Benjamin equation, Dullin-Gottwald-Holm (DGH) equation and generalized Dullin-Gottwald-Holm equation are established using the conserved vectors. The multiplier approach is applied to construct the conserved vectors for equations under consideration. For non-linear evolution equation three conserved vectors and for Benjamin equation four conserved vectors are obtained. The conserved vectors for DGH and generalized DGH equations were reported in [1]. The higher order multiplier is considered for DGH equation and a new conserved vector is found. The double reduction theory is utilized to obtain various exact solutions for Benjamin equation, DGH equation and generalized DGH equation.

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