On optimal system, exact solutions and conservation laws of the modified equal-width equation
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Autores: Chaudry Masood Khalique
, Oke Davies Adeyemo, Innocent Simbanefayi
- Localización: Applied Mathematics and Nonlinear Sciences, ISSN-e 2444-8656, Vol. 3, Nº. 2, 2018, págs. 409-418
- Idioma: inglés
- DOI: 10.21042/amns.2018.2.00031
- Enlaces
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Resumen
In this paper we study the modified equal-width equation, which is used in handling simulation of a single dimensional wave propagation in nonlinear media with dispersion processes. Lie point symmetries of this equation are computed and used to construct an optimal system of one-dimensional subalgebras. Thereafter using an optimal system of one-dimensional subalgebras, symmetry reductions and new group-invariant solutions are presented. The solutions obtained are cnoidal and snoidal waves. Furthermore, conservation laws for the modified equal-width equation are derived by employing two different methods; the multiplier method and Noether approach.
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